Übersicht über Veröffentlichungen und Software /
Publications and Software-Downloads
PhD Thesis
Extrempunkte und Stützpunkte
in Familien nichtverschwindender analytischer
Funktionen . Freie Universität Berlin, 1984.
Habilitation Thesis
On the interplay between
geometrical and analytical properties of univalent
functions. Freie Universität Berlin, 1990.
Textbooks and Monographs
Mathematik mit Derive .
Vieweg, Braunschweig/Wiesbaden, 1993, ISBN
3-528-06549-4, jointly with A. Ben-Israel and R. P.
Gilbert (Reviews: Computeralgebra-Rundbrief
18 of Fachgruppe Computeralgebra ,
March 1996, pp. 24-25 (K. Hantzschmann and B.
Amrhein); Zbl.
Math. 794.26003 (E. Kreyszig); Zbl. Didaktik Math.
2 6 (October 1994), 143-146 (Leo
Klingen); Mathematik in der Schule 3 3
(5) (May 1995), 317ff. (Herbert Henning); Math.
Semesterber. 4 3 (September 1996),
202-203 (H. Begehr)).
Höhere Analysis mit
Derive . Vieweg, Braunschweig/Wiesbaden,
1994, ISBN 3-528-06594-X (Reviews: Computeralgebra-Rundbrief
18 of Fachgruppe Computeralgebra ,
March 1996, pp. 25-26 (K. Hantzschmann); Zbl. Math.
819.26003 , (E. Kreyszig); Newsletter European
Mathematical Society 1 5 (March 1995),
37; Math. Semesterber. 4 3 (September
1996), 202-203 (H. Begehr)).
Derive-Projekte im Mathematikunterricht. Der
Mathematikunterricht 41 (4/1995),
Friedrich-Verlag, Seelze, Editor.
Derive für den
Mathematikunterricht . Vieweg,
Braunschweig/Wiesbaden, 1996, ISBN 3-528-06752-7.
Hypergeometric
Summation. An Algorithmic Approach to
Summation and Special Function Identities .
Vieweg, Braunschweig/Wiesbaden, 1998, ISBN
3-528-06950-3 (Reviews: Computeralgebra-Rundbrief
23 of Fachgruppe Computeralgebra ,
October 1998, pp. 27-28 (Volker Strehl); Zbl. Math.
909.33001 (P. W. Karlsson); Newsletter of the SIAM
Activity Group on Orthogonal Polynomials and Special
Functions 9.3 , June 1999 (T. H.
Koornwinder); MR
2000c:33002 (Jiang Zeng)).
Die reellen
Zahlen als Fundament und Baustein der Analysis .
Oldenbourg, München, 2000, ISBN 3-486-24455-8, jointly
with Dieter Schmersau (Reviews: Zbl. Math.
949.26001 (R. Girgensohn)).
Computeralgebra.
Eine algorithmisch orientierte Einführung .
Springer, Berlin-Heidelberg, 2006, ISBN 3-540-29894-0
(Reviews: Computeralgebra-Rundbrief
39 of Fachgruppe Computeralgebra ,
October 2006, pp. 37-39 (Volker Strehl)).
Bernhard, Matthias and Wesselsky, Christian: ClassPad
im Mathematikunterricht . Nach einer
Idee von Wolfram Koepf. Vieweg+Teubner, 2009, ISBN
978-3-8348-0840-0 (Reviews: Zbl. Math.
1177.00032 (A. Filler)).
ISSAC
2010 , Proceedings of the 2010 International
Symposium on Symbolic and Algebraic Computation,
Munich, Germany, 25-28 July 2010, ACM Press, New York,
jointly with Stephen M. Watt and Ernst W. Mayr,
ISBN 987-1-4503-0150-3
Proceedings of CASC 2010 , Computer Algebra in
Scientific Computing, 12th
International Workshop, Tsakhkadzor, Armenia,
September 6-12, 2010, Lecture Notes in Computer
Science 6244, jointly with V ladimir P. Gerdt,
Ernst W. Mayr and Evgenii V. Vorozhtsov, ISBN
978-3-642-15273-3
Proceedings
of CASC 2011 , Computer Algebra in Scientific
Computing, 13th International
Workshop, Kassel, Germany, September 5-9, 2011,
Lecture Notes in Computer Science 6885, jointly with
V ladimir P. Gerdt, Ernst W. Mayr and Evgenii
V. Vorozhtsov, ISBN 978-3-642-23568-9
Proceedings
of CASC 2012 , Computer Algebra in Scientific
Computing, 14th International
Workshop, Maribor, Slovenia, September 3-6, 2012,
Lecture Notes in Computer Science 7442, jointly with
V ladimir P. Gerdt, Ernst W. Mayr and Evgenii
V. Vorozhtsov, ISBN 978-3-642-32973-9
Proceedings
of CASC 2013 , Computer Algebra in Scientific
Computing, 15th International
Workshop, Berlin, Germany, September 9-13, 2013,
Lecture Notes in Computer Science 8136,
jointly with V ladimir P. Gerdt, Ernst W. Mayr
and Evgenii V. Vorozhtsov, ISBN 978-3-319-02296-3
Mathematische
Vor- und Brückenkurse: Konzepte, Probleme und
Lehrerbildung , jointly with I. Bausch, R.
Biehler, R. Bruder, P. Fischer, R. Hochmuth, St.
Schreiber, Th. Wassong, Springer Spektrum, Wiesbaden,
2014, ISBN 978-3-658-03065-0
Hypergeometric
Summation. An Algorithmic Approach to
Summation and Special Function Identities .
Second Edition, Springer Universitext. Springer,
London, 2014, ISBN 978-1-4471-6463-0; MR 3289086 (Ch.
Lavault), Zbl.
Math. 1296.33002 (A. F. Grishin).
Proceedings
of CASC 2014 , Computer Algebra in Scientific
Computing, 16th International
Workshop, Warsaw, Poland, September 8-12, 2014,
Lecture Notes in Computer Science 8660,
jointly with V ladimir P. Gerdt, Werner M.
Seiler and Evgenii V. Vorozhtsov, ISBN
978-3-319-10514-7.
Proceedings
of CASC 2015 , Computer Algebra in Scientific
Computing, 17th International
Workshop, Aachen, September 14-18, 2015, Lecture Notes in Computer Science
9301 , jointly with V ladimir
P. Gerdt, Werner M. Seiler and Evgenii V. Vorozhtsov,
ISBN 978-3-319-24020-6 .
Proceedings
of CASC 2016 , Computer Algebra in Scientific
Computing, 18th International
Workshop, Bucharest, Romania, September 19-23, 2016,
Lecture Notes in
Computer Science 9890 ,
jointly with V ladimir P. Gerdt, Werner M.
Seiler and Evgenii V. Vorozhtsov, ISBN 978-3-319-45640-9 .
Proceedings
of CASC 2017 , Computer Algebra in Scientific
Computing, 19th International
Workshop, Beijing, China, September 18-22, 2017, Lecture Notes in Computer Science
10490 , jointly with V ladimir
P. Gerdt, Werner M. Seiler and Evgenii V. Vorozhtsov,
ISBN 978-3-319-66320-3 .
Proceedings
of CASC 2018 , Computer Algebra in Scientific
Computing, 20th International
Workshop, Lille, France, September 17-21, 2018, Lecture Notes in Computer Science
11077, jointly with V ladimir
P. Gerdt, Werner M. Seiler and Evgenii V. Vorozhtsov,
ISBN 978-3-319-99639-4.
Mathematik in Schule und Hochschule - wie groß
ist die Lücke und wie gehen wir mit ihr um? Der
Mathematikunterricht 64 (5/2018),
Friedrich-Verlag, Seelze, jointly with Gilbert
Greefrath and Max Hoffmann, ISSN 0025-5807.
Proceedings
of CASC 2019 , Computer Algebra in Scientific
Computing, 21th International
Workshop, Moscow, Russia, August 26-30, 2019, Lecture Notes in Computer Science 11661, jointly with Matthew England ,
Timur Sadykov, Werner M. Seiler and Evgenii V.
Vorozhtsov, ISBN 978-3-030-26831-2.
Orthogonal
Polynomials . 2nd AIMS-Volkswagen Stiftung
Workshop, Douala, Cameroon, 5-12 October, 2018, Tutorials,
Schools, and Workshops in the Mathematical Sciences
(TSWMS) , Springer Nature, Cham, 2020, ISBN
978-3-030-36743 (Review in OP-SF Net
27.3 (pp.
3-4) , by Walter van Assche).
Computer
Algebra. An Algorithmic-Oriented Introduction .
Springer
Undergraduate Texts in Mathematics and Technology
(SUMAT) Series , 2021. ISBN 978-3-030-78016-6.
Editorial Work
Member of the Editorial Board of the
Journal of Symbolic Computation , of
Integral Transforms and Special Functions and of
Kyungpook
Mathematical Journal .
Editor of the Newsletter of the SIAM Activity Group on
Orthogonal Polynomials and Special Functions ,
1995-1998.
Orthogonal polynomials
and computer algebra: Special Issue of the Journal
of Symbolic Computation (6) , co-edited by
Richard Askey and Tom Koornwinder, 28 (6) ,
1999, 737-845 (Zbl.
Math. 944.00022 ).
Editor of Chapter 3.6: Computer
Algebra
in Education . In: Grabmeier, Kaltofen,
Weispfenning: Computer
Algebra Handbook , Springer, Berlin, 2003,
244-260.
Computer Algebra and
Computer Analysis: Special Issue of the Journal
of Symbolic Computation , co-edited by
Karin Gatermann, 35 (5) , 2003, 463-636.
Guest Editor of issue 12 (4) of The International Journal of
Technology in Mathematics Education, 2006.
Guest Editor of Issue 32 (1) of
Informatik Spektrum , co-edited by Ernst Mayr,
2009.
Guest editor of Journal
of Symbolic Computation 49 (2013) , Special
issue on ISSAC 2010, co-edited by Stephen Watt.
Guest editor of Mathematics
in Computer Science, Volume 11, Issue 3-4,
December 2017 , Proceedings of the
conference Applications
of Computer Algebra 2016, Kassel, August 1-4, 2016 ,
co-edited by Thierry Dana-Picard, Wolfram Koepf, Ilias
Kotsireas, Zoltán Kovács, Alexander Prokopenya, Werner
M. Seiler. ISSN: 1661-8270
(Print) 1661-8289
(Online).
Guest editor of Mathematics
in Computer Science, Volume 15 (2), 2021 ,
Proceedings of the conference Computer
Algebra in Scientific Computing 2019, Moscow,
August 26-30, 2019 ,
co-edited by Matthew England, Wolfram Koepf, Timur
Sadykov, Werner M. Seiler, Thomas Sturm. Foreword: https://doi.org/10.1007/s11786-020-00476-y
Publications in Refereed Journals
Close-to-convex functions
and linear-invariant families. Ann. Acad. Sci.
Fenn. Ser. A. I. Math. 8 , 1983, 349-355 (Zbl.
Math. 508.30016 (author's abstract); MR 86a:30018 (S.
M. Zemyan)).
Classical families of
univalent functions in the Hornich space.
Monatsh. Math. 1 0 0 , 1985,
113-120 (Zbl.
Math. 572.30009 (author's abstract); MR
87f:30030 (D. A. Brannan)).
Eine Bemerkung zum
Schwarzschen Lemma. Elem. Math. 4 1 ,
1986, 125-128 (Zbl.
Math. 605.30026 (K.-J. Wirths); MR 88e:30069 (E.
H. Johnston)).
On nonvanishing univalent
functions with real coefficients. Math. Z. 1 9 2 ,
1986, 575-579 (Zbl.
Math. 599.30030 (E. Zlotkiewicz); MR 87m:30020
(H. Haario)).
Extrempunkte und
Stützpunkte in Familien nichtverschwindender
schlichter Funktionen. Complex Variables 8 ,
1987, 153-171 (Zbl.
Math. 579.30013 (author's abstract); 622.30002
(G. Schober); MR 88j:30024 (D. R. Wilken)).
On the Fekete-Szegö
problem for close-to-convex functions . Proc.
Amer. Math. Soc. 1 0 1 , 1987,
89-95 (Zbl. Math.
635.30019 (D. Aharonov); MR 88i:30015 (F.
Holland)).
On the Fekete-Szegö problem
for close-to-convex functions II. Arch. Math. 4 9 ,
1987, 420-433 (Zbl.
Math. 635.30020 (D. Aharonov); MR 89a:30005 (F.
Holland)).
Extremal problems for
close-to-convex functions. Complex Variables 1 0 ,
1988, 349-357 (MR 90f:30019 (De Lin Tan); Zbl. Math.
663.30019 (D. W. DeTemple)).
Coefficients of symmetric
functions of bounded boundary rotation . Proc.
Amer. Math. Soc. 1 0 5 , 1989,
324-329 (MR 89f:30030 (D. A. Brannan); Zbl. Math.
669.30007 (D. Aharonov)).
On close-to-convex
functions and linearly accessible domains.
Complex Variables 1 1 , 1989, 269-279 (Zbl. Math.
679.30007 (K.-J. Wirths); MR
91f:30010 (author's abstract)).
On two conjectures of M.
S. Robertson. Complex Variables 1 6 ,
1991, 127-130 (MR
92f:30004 (P. Lappan), Zbl. Math.
745.30004 (P. Liardet)).
On the interplay between
geometrical and analytical properties of functions
of bounded boundary rotation. Complex Variables
1 6 , 1991, 177-207 (MR
92j:30013 (Summary); Zbl. Math.
749.30004 (K.-J. Wirths)).
Power series in computer
algebra . Journal of Symbolic Computation 1 3 ,
1992, 581-603 (Zbl.
Math. 758.30026 (F. Schwarz), MR
93j:68087 (Summary)).
Taylor polynomials of
implicit functions, of inverse functions, and of
solutions of ordinary differential equations .
Complex Variables 2 5 , 1994, 23-33 (Zbl. Math.
817.41001 (T. D. Narang); MR 95m:30004 (A. K.
Agarwal)).
Von der Bieberbachschen
Vermutung zum Satz von de Branges sowie der
Beweisvariante von Weinstein . Jahrbuch
Überblicke Mathematik 1994, Vieweg,
Braunschweig/Wiesbaden, 1994, 175-193 (s. also Zbl. Math.
743.30021 ; MR
95d:30027 (A. W. Goodman); Zbl. Math.
815.30013 (R. McLaughlin)).
A package on formal power
series . Mathematica Journal 4 ,
1994, 62-69.
Bounded nonvanishing functions
and Bateman functions , jointly with D.
Schmersau. Complex Variables 2 5 , 1994,
237-259 (Zbl.
Math. 823.30009 (H. Begehr); MR 96a:30016 (J. A.
Hummel)).
A uniqueness theorem for
functions of positive real part . Journal of
Mathematical Sciences 2 8 , 1994, 78-90 (Zbl. Math.
929.30011 (Summary)).
Algorithms for m -fold
hypergeometric
summation . Journal of Symbolic Computation 2 0 ,
1995, 399-417 (Zbl.
Math. 851.68049 (Summary); MR 97m:33001 (I.
Gessel)).
Maple package on formal power
series , jointly with Dominik Gruntz. Maple
Technical Newsletter 2 (2), 1995, 22-28.
Closed form Laurent-Puiseux
series of algebraic functions . Applicable
Algebra in Engineering, Communication and Computing 7 ,
1996, 21-26 (Zbl.
Math. 847.30002 (F. Schwarz)).
Summation in Maple .
Maple Technical Newsletter 3 (2), 1996, 26-32.
On the de Branges Theorem ,
jointly with D. Schmersau. Complex Variables 3 1 ,
1996, 213-230 (Zbl.
Math. 882.30010 (R. McLaughlin); MR
97m:30017 (A. Z. Grinshpan)).
Identities for families of
orthogonal polynomials and special functions .
Integral Transforms and Special Functions 5 ,
1997, 69-102 (Zbl.
Math. 895.33002 (W. Van Assche); MR 98c:33010 (Summary)).
Weinstein's functions and the
Askey-Gasper identity, jointly with D.
Schmersau. Integral Transforms and Special Functions 5 ,
1997, 227-246 (MR 99d:30021
(Shusen Ding); Zbl.
Math. 906.30017 (A. K. Agarwal)).
The algebra of holonomic
equations. Mathematische Semesterberichte 44 ,
1997, 173-194 (MR 99f:68113
(H. F. Trotter)).
Gröbner bases and triangles.
International Journal of Computer Algebra in
Mathematics Education 4 , 1997, 371-386.
Representations of
orthogonal polynomials , jointly with D.
Schmersau. J. Comput. Appl. Math. 90 , 1998,
57-94 (Zbl. Math.
905.65017 (N. M. Temme); MR 2000d:33005
(Summary)).
Fourth order difference
equation for the associated classical discrete
orthogonal polynomials , jointly with M.
Foupouagnigni and A. Ronveaux. J. Comput. Appl. Math.
92 , 1998, 103-108 (Zbl. Math.
928.33006 (L. Gatteschi); MR 99i:39006 (Summary)).
Efficient computation of
Chebyshev polynomials. In: M. Wester (Ed.): Computer
Algebra Systems: A Practical Guide. John Wiley,
Chichester, 1999, 79-99.
Fourth order q -difference
equation
for the first associated of the q -classical
orthogonal polynomials , jointly with M.
Foupouagnigni and A. Ronveaux. J. Comput. Appl. Math.
101 , 1999, 231-236 (Zbl. Math.
952.33006 (P. A. McCoy); MR 99j:33022 (Summary)).
).
Algorithms for q -hypergeometric
summation in computer algebra , jointly with H.
Böing. Journal of Symbolic Computation 28 ,
1999, 777-799 (Zbl.
Math. 946.65008 (D. Petcu); MR 2001j:33019 (M.
Petkovsek)).
Software for the
algorithmic work with orthogonal polynomials and
special functions . Electronic Transactions of
Numerical Analysis 9 , 1999, 77-101, http://etna.mcs.kent.edu
(Zbl. Math.
946.33001 (D. M. Bressoud); MR 2001b:33030
(Abstract)).
On a structure formula
for classical q -orthogonal polynomials ,
jointly with D. Schmersau. J. Comput. Appl. Math. 136 ,
2001, 99-107 (Zbl.
Math. 1004.33008 (Ch. Krattenthaler); MR 2002k:33018 (H. S.
P. Shrivastava)).
Recurrence equations and their
classical orthogonal polynomial solutions ,
jointly with D. Schmersau. Appl. Math. Comput. 128 ,
2002, 303-327 (MR
2003i:33010 (T. S. Chihara); Zbl. Math.
1031.33007 (M. G. de Bruin)).
Computer algebra
algorithms for orthogonal polynomials and special
functions. In: E. Koelink and W. Van Assche
(Eds.): Orthogonal Polynomials and Special
Functions: Leuven 2002 . Lecture Notes Math. 1817 ,
2003, 1-24 (Zbl.
Math. 1031.33014 (H. Benker); MR 2004k:33046 ).
Power series, Bieberbach
conjecture and the de Branges and Weinstein
functions . Proceedings of ISSAC'03. ACM, New
York, 2003, 169-175 (Zbl. Math
1072.68678 ; MR
2004m:68293 ).
On fourth-order difference
equations for orthogonal polynomials of a discrete
variable: derivation, factorization and solutions ,
jointly with M. Foupouagnigni and A. Ronveaux. J.
Difference Equations Appl. 9 , 2003, 777-804 (MR 2004h:33017 (S. M.
Zagorodnyuk); Zbl.
Math. 1062.33010 (A. A. Dovgoshey)).
On Gould's identity No.
1.45 , jointly with P. J. Larcombe, E. J.
Fennessey and D. R. French. Utilitas Mathematica 64 ,
2003, 19-24 (Zbl.
Math. 1060.05012 (A. Hamel)).
The Catalan numbers
re-visit the world series , jointly with P. J.
Larcombe, E. J. Fennessey and D. R. French. Congressus
Numerantium 165 , 2003, 19-32 (Zbl. Math.
1046.05004 (A. Reifegerste); MR 2004m:05022 ).
Factorization of
fourth-order differential equations for perturbed
classical orthogonal polynomials , jointly with
M. Foupouagnigni and A. Ronveaux. J. Comput. Appl.
Math. 162 , 2004, 299-326 (Zbl. Math.
1052.33006 (A. A. Dovgoshey); MR 2004j:33007 (H. W.
Volkmer)).
Integral proofs of two
alternating sign binomial coefficient identities ,
jointly with P. J. Larcombe and E. J. Fennessey.
Utilitas Mathematica 66 , 2004, 93-103 (Zbl. Math.
1064.05024 (L. Székely); MR 2005g:05009 ).
On factorization and
solutions of q -difference equations
satisfied by some classes of orthogonal polynomials ,
jointly with M. Foupouagnigni and A. Ronveaux. J.
Difference Equations and Appl. 10 , 2004, 729-747
(MR 2006a:33020 ).
Computing the real zeros of
hypergeometric functions , jointly with A. Gil
and J. Segura. Numerical Algorithms 36 , 2004,
113-134 (Zbl.
Math 1071.33017 (F. P. Acosta); MR 2005i:65072 (B.
Döring)). Corresponding Maple worksheet
and code .
Positivity and monotony
properties of the de Branges functions , jointly
with D. Schmersau. J. Comput. Appl. Math. 173 ,
2005, 279-294 (Zbl.
Math. 1065.300011 (N. Tuneski); MR 2005j:30028 (R. K.
Raina)). Corresponding Maple worksheet , and as pdf file .
Solution properties of the de
Branges differential recurrence equation ,
jointly with D. Schmersau. Complex Variables 50 ,
2005, 585-595 (Zbl.
Math. 1088.30010 (Z. J. Jakubowski)).
A generic polynomial
solution for the differential equation of
hypergeometric type and six sequences of orthogonal
polynomials related to it , jointly with M.
Masjed-Jamei. Integral Transforms and Special
Functions 17 ,
2006, 559-576 (MR
(2008b:33021 (Kh. Trimèche); Zbl. Math
1099.33007 (F. P. Acosta)).
A generic formula for
the values at the boundary points of monic classical
orthogonal polynomials , jointly with M.
Masjed-Jamei. J. Comput. Appl. Math. 191 , 2006, 98-105
(Zbl. Math.
1091.33008 (F. P. Acosta), MR2217787 (J. J.
Moreno-Balcázar)).
Bieberbach's
conjecture, the de Branges and Weinstein functions,
and the Askey-Gasper inequality .The Ramanujan
Journal 13 ,
2006, 103-129 (MR
2007i:30042 (St. M. Zemyan); Zbl. Math.
pre 05166192 (M. G. de Bruin)).
A generalization of
Student's t-distribution from the viewpoint of
special functions , jointly with M. Masjed-Jamei.
Integral Transforms and Special Functions 17 , 2006, 863-875
(Zbl. Math.
1109.60010 (C. Sempi)).
Relations between some
characteristic lengths in a triangle , jointly
with M. Brede. The International Journal for
Technology in Mathematics Education 12 , 2006, 149-154.
Two classes of special
functions using Fourier transforms of some finite
classes of classical orthogonal polynomials ,
jointly with M. Masjed-Jamei. Proc. Amer. Math. Soc. 135 , 2007,
3599-3606 (MR 2008j:33004
(F. Marcellán); Zbl.
Math. 1125.33005 (A. C. López)).
Duplication
coefficients via generating functions , jointly
with H. Chaggara. Complex Variables and Elliptic
Equations 52 ,
2007, 537-549 (MR
2008f:33010 (Sh. Watanabe); Zbl. Math.
1120.33005 (R. K. Raina)).
Properties
of q -holonomic
functions , jointly with P. M. Rajkovic and S. D.
Marinkovic. J. Difference Equations Appl. 13 , 2007, 621-638
(MR 2008m:33042 (R.
Vidunas); Zbl.
Math. 1128.39015 (P. Rehak)).
Orthogonal
polynomials and recurrence equations, operator
equations and factorization . Electronic
Transactions of Numerical Analysis 27 , 2007, 113-123
(MR 2008m:33023 (F.
Marcellán)).
Solving
differential equations in terms of Bessel functions ,
jointly with R. Debeerst and M. van Hoeij. Proceedings
of ISSAC'08, ACM, New York, 2008, 39-46 (MR2500371 (M. E.
Muldoon)).
Divisibility
of trinomials by irreducible polynomials over F2 ,
jointly with R. Kim. International Journal of Algebra
3 , 2009,
189-197 (MR2497353
(Wun-Seng Chou)).
The
parity of the number of irreducible factors for some
pentanomials , jointly with R. Kim. Finite Fields
and their Applications 15 , 2009, 585-603 (MR2554042 (by L. H.
Gallardo)).
Integralrechnung und
Computeralgebra . Informatik-Spektrum 32 , 2009, 8-11.
The sum
16^n*sum(4^k*binomial(1/2,k)* binomial (-1/2,k) *binomial( -2*k,2*n-k),k=0..2*n):
A computer assisted proof of its closed form, and
some generalised results , jointly with P. J.
Larcombe. Utilitas Mathematica 79 , 2009, 9-16.
Irrationality of
certain infinite series , jointly with D.
Schmersau. Analysis 30 ,
2010, 27-34.
Parity
of the number of irreducible factors for composite
polynomials, jointly with R. Kim. Finite Fields
and their Applications 16 , 2010, 137-143 (MR2610704 (by O. Ahmadi
Darvishvand)).
On linearization
coefficients of Jacobi polynomials , jointly with
H. Chaggara. Applied Mathematics Letters 23 , 2010, 609-614
(MR2602419 (C.
Schneider)).
On incomplete
symmetric orthogonal polynomials of Jacobi type ,
jointly with M. Masjed-Jamei. Integral Transforms and
Special Functions 21 ,
2010, 655-662 (MR2743534
(F. Marcellán)).
Efficient
computation of truncated power series: Direct
approach versus Newton’s method . Utilitas
Mathematica 83 , 2010, 37-55 (MR2742273 (J. M.
Gutiérrez)).
Irrationality of
certain infinite series II , jointly with D.
Schmersau. Analysis 31 ,
2011, 117-124.
On incomplete
symmetric orthogonal polynomials of Laguerre type ,
jointly with M. Masjed-Jamei. Applicable Analysis 90 , 2011, 769-775.
On linearization and
connection coefficients for generalized Hermite
polynomials , jointly with H. Chaggara. J.
Comput. Appl. Math. 236 ,
2011, 65-73 (MR2823414
(M. Pérez Riera)). Corresponding Mathematica notebook and pdf .
Computing two
special cases of Gauss hypergeometric function ,
jointly with M. Masjed-Jamei. Journal of Creative
Mathematics and Informatics 20 , 2011, 137-146 (MR2918511 (L. M. Braga
de Costa Campos)).
Two classes of special
functions using Fourier transforms of generalized
ultraspherical and generalized Hermite polynomials ,
jointly with M. Masjed-Jamei. Proc. Amer. Math. Soc. 140 ,
2012, 2053-2063 (MR2888193
(B. P. Osilenker), Zbl. Math.
1246.33005 ()N. de Schepper).
Algorithmic
determination of q -power
series for q -holonomic
functions , jointly with T. Sprenger. J. Symbolic
Computation 47 ,
2012, 519-535. Corresponding Maple worksheet , Maple package , demo
file for the package, and demo file for q -orthogonal
polynomials.
m -fold
hypergeometric solutions of linear recurrence
equations revisited , jointly with P. Horn and T.
Sprenger. Mathematics in Computer Science 6 , 2012, 61-77 (MR2910507 (C.
Schneider)).
Representations of q -orthogonal
polynomials , jointly with M. Foupouagnigni, D.
D. Tcheutia and P. Njionou Sadjang. J. Symbolic
Computation 47 ,
2012, 1347-1371 (MR2927134
(Qing-Hu Hou)).
On generating symmetric orthogonal
polynomials , jointly with M.
Masjed-Jamei. Complex Variables and Elliptic Equations 58, 2013,
1373-1385 (MR3170705
(F. Marcellán)).
Two
finite classes of orthogonal functions , jointly
with M. Masjed-Jamei. Applicable Analysis 92 ,
2013, 2392–2403, (Zbl. Math.
1292.42017 (P. Sánchez-Moreno)).
Connection and
linearization coefficients of the Askey-Wilson
polynomials, jointly with M. Foupouagnigni and
D. D. Tcheutia. J. Symbolic Computation 53 ,
2013, 96-118 (MR3027985
(A. M. Barg), Zbl.
Math. 1273.33003 (V. L. Makarov)).
On solutions of holonomic
divided-difference equations on non-uniform lattices ,
jointly with M. Foupouagnigni, M. Kenfack Nangho and
S. Mboutngam. Axioms 3 , 2013, 404-434.
Corresponding Maple worksheets (Proposition9.mws , Proposition9.pdf , Theorem19.mws , Theorem19.pdf ) and packages
(qsum17.mpl , qFPS.mpl ), ( Zbl. Math.
1301.33024 (M. de
Bruin)).
Efficient detection
of the quasi-periodic route to chaos in discrete
maps by the three-state test , jointly with J. S. A. Eyebe
Fouda . Nonlinear Dynamics 78 ,
2014, 1477-1487, DOI
10.1007/s11071-014-1529-4
Algorithmic approach to
formal Fourier series , jointly with E. Nana
Chiadjeu. Mathematics in Computer Science 9 ,
2015, 365-389, http://link.springer.com/article/10.1007/s11786-014-0215-8
(MR3404710 (Ch.
Lavault)).
On moments of
classical orthogonal polynomials , jointly
with P. Njionou Sadjang and M.
Foupouagnigni. J. Math. Anal. Appl. 424 ,
2015, 122-151, http://dx.doi.org/10.1016/j.jmaa.2014.10.087 ,
(Zbl.
Math. 1321.33022
(L. Khérji)).
Detecting
regular dynamics from time series using
permutations slopes , jointly with J. S. A.
Eyebe Fouda .
Commun. Nonlinear Sci.
Numer. Simulat. 27 , 2015, 216-227.
http://www.sciencedirect.com/science/article/pii/S1007570415000921
On structure formulas for
Wilson polynomials , jointly with P. Njionou
Sadjang and M. Foupouagnigni. Integral Transforms and
Special Functions 26 , 2015, 1000–1014, http://dx.doi.org/10.1080/10652469.2015.1076408 ,
(MR3394757 (S.
Varma), Zbl.
Math. 1331.33011 (I. Mezö)).
Coefficients of
multiplication formulas for classical orthogonal
polynomials ,
jointly with D. D. Tcheutia, M.
Foupouagnigni and P.
Njionou Sadjang. Ramanujan Journal 39 ,
2016, 497-531, http://link.springer.com/article/10.1007/s11139-015-9682-z ,
(MR3472122 (H. Qin)).
On a
connection between formulas about q -gamma
functions , jointly with P. M. Rajkovic
and S. D. Marinkovic. Journal
of Nonlinear Mathematical Physics 23 ,
2016, 343-350, http://www.tandfonline.com/doi/abs/10.1080/14029251.2016.1199496
Symbolic
computation of some power-trigonometric series ,
jointly with M. Masjed-Jamei. J. Symbolic
Computation 80 , 2017, 273-284, http://dx.doi.org/10.1016/j.jsc.2016.03.004
The
ordinal Kolmogorov-Sinai entropy: A
generalized approximation , jointly with
J. S. A. Eyebe Fouda and S. Jacquir. Commun.
Nonlinear Sci. Numer. Simulat. 46 ,
2017, 103-115.
Complexity measure
by ordinal matrix growth modeling , jointly with
J. S. A. Eyebe Fouda. Nonlinear Dynamics 89 ,
2017, 1385-1395. DOI
10.1007/s11071-017-3523-0
Inner bounds
for the extreme zeros of 3F2 hypergeometric
polynomials , jointly with A. Jooste and
P. Njionou Sadjang; Integral Transforms and
Special Functions 28 , 2017,
361-373, http://dx.doi.org/10.1080/10652469.2017.1297439 .
Corresponding Maple
file , pdf .
Divided-difference
equation, inversion, connection, multiplication and
linearization formulae of the continuous Hahn and
the Meixner-Pollaczek Polynomials ,
jointly with D. Tcheutia, P. Njionou Sadjang and M.
Foupouagnigni; Ramanujan Journal
45 , 2018, 33-56, DOI:10.1007/s11139-016-9870-5 .
Corresponding Maple
file.
Mixed
recurrence equations and interlacing
properties for zeros of sequences of
classical q -orthogonal polynomials ,
jointly with D. D. Tcheutia and A. Jooste,
Appl. Numer. Math. 125 ,
2018, 86-102, https://doi.org/10.1016/j.apnum.2017.11.003 .
Corresponding Maple
file , pdf .
Quasi-orthogonality
of some hypergeometric and q -hypergeometric
polynomials , jointly with D. D. Tcheutia
and A. Jooste, SIGMA 14 , 2018, 951, 26
pages. Corresponding Maple
file , pdf .
A new type of
Euler polynomials and numbers , jointly
with M. Masjed-Jamei and M. R. Beyki,
Mediterr.
J. Math. 138 , 1-15, 2018, https://doi.org/10.1007/s00009-018-1181-1 .
Some
summation theorems for generalized hypergeometric
functions , jointly with M.
Masjed-Jamei, Axioms 7 ,
38, 2018,
20 pages, https://doi.org/10.3390/axioms7020038
Two
finite hypergeometric sequences of
discrete orthogonal polynomials ,
jointly with M. Masjed-Jamei ,
Journal of Difference Equations and Applications 24 ,
2018, 1429-1443, https://doi.org/10.1080/10236198.2018.1494166
An
extension of Taylor series expansion
using Bell polynomials , jointly
with M. Masjed-Jamei, Z. Moalemi and
H. M. Srivastava, Revista de la Real
Academia de Ciencias Exactas, Físicas
y Naturales. Serie A. Matemáticas 113 ,
2019, 1445–1461 ,
https://doi.org/10.1007/s13398-018-0558-0
A
new identity for generalized hypergeometric
functions and applications , jointly with M.
Masjed-Jamei. Axioms 8 ,
12, 2019, 9 pages , https://doi.org/10.3390/axioms8010012
On exponential and
trigonometric functions on nonuniform
lattices , jointly with M. Kenfack Nangho
and M. Foupouagnigni. Ramanujan
Journal 4 9 , 2019, 1-37, https://doi.org/10.1007/s11139-018-0107-7
On a new class of
Laplace-type integrals involving generalized
hypergeometric functions , jointly with I.
Kim and A. K. Rathie. Axioms 8 ,
87, 2019, 21 pages, https:/ doi.org/10.3390/axioms8030087
An
extension of the
Euler-Maclaurin quadrature
formula using a parametric
type of Bernoulli
polynomials , jointly
with M.
Masjed-Jamei
and M. R.
Beyki.
Bull. Sci. Math. 156 ,
2019, Article 102798, 1-26, https://doi.org/10.1016/j.bulsci.2019.102798
On
the solutions of holonomic
third-order linear
irreducible differential
equations in terms of
hypergeometric functions ,
jointly with M. Mouafo
Wouodjié. J. Symbolic Comput.
101 , 2020, 202-241,
https://doi.org/10.1016/j.jsc.2019.08.002
Two finite sequences of
symmetric q -orthogonal
polynomials generated by two
q -Sturm-Liouville
problems , jointly with
M. Masjed-Jamei and F.
Soleyman. Reports on
Mathematical Physics 85,
2020, 41-55, https://www.sciencedirect.com/science/article/pii/S0034487720300094
Adaptive ECG beat
classification by ordinal pattern based entropies ,
jointly with J. B. Bidias à Mougoufan, A. Eyebe Fouda
and M. Tchuente, Communications in Nonlinear Science
and Numerical Simulation 84 , 2020, Article
105156, 1-10, https://doi.org/10.1016/j.cnsns.2019.105156
A
unified representation for some interpolation
formulas , jointly with M. Masjed-Jamei and Z.
Moalemi. Analysis 40 (3), 2020, 113-125, https://doi.org/10.1515/anly-2019-0008
On
the finite orthogonality of q -Pseudo-Jacobi
polynomials , jointly with M. Masjed-Jamei, N.
Saad and F. Soleyman. Mathematics 8 , 2020,
Article 1323, 1-9, https://www.mdpi.com/2227-7390/8/8/1323
A finite
sequence of Hahn-type discrete orthogonal
polynomials , jointly with M. Masjed-Jamei and D.
D. Tcheutia. Journal of Difference
Equations and Applications 26 , 2020, 952–965, published online 11.08.2020, https://www.tandfonline.com/doi/full/10.1080/10236198.2020.1801663
Approximation by
interpolation: The Chebyshev nodes , jointly with
M. Foupouagnigni, D. D. Tcheutia and K. N. Forwa. J.
Classical Anal. 17 (1), 2021, 39-53, dx.doi.org/10.7153/jca-2021-17-04 .
Three-class
ECG beat classification by ordinal entropies ,
jointly with J. B. Bidias à Mougoufan, J. S. A. Eyebe
Fouda and M. Tchuente, Biomedical Signal Processing
and Control 67 , 2021, 102506, https://doi.org/10.1016/j.bspc.2021.102506
A
study of extensions of classical summation theorems
for the series 3F2 and 4F3 with applications ,
jointly with M. M. Awad, A. O. Mohammed, M. A. Rakha
and A. K. Rathie. Results in Mathematics 76 :65,
2021, https://doi.org/10.1007/s00025-021-01367-9
Symbolic
conversion of holonomic functions to hypergeometric
type power series , jointly with B. Teguia
Tabuguia. Programming and Computer Software 48
(2), 2022, 125-146
An 8-bit precision cipher for fast image encryption,
jointly with A. Eyebe Fouda, Multimedia Tools and
Applications, 2022, https://doi.org/ 10.1007/s11042-022-12368-3
On the implementation of large period piece-wise
linear Arnold cat map, jointly with D. Hermann, G.
Gaetan Gildas and A. Eyebe Fouda, Multimedia Tools and
Applications, 2022, https://doi.org/10.1007/s11042-022-13175-6
On the
representation of hon-holonomic univariate power
series , jointly with B. Teguia Tabuguia.
Maple Trans. 2 (1), Article 14315, 2022,
18 pages, https://doi.org/10.5206/mt.v2i1.14315
An extendable key space integer image-cipher using
4-bit piece-wise linear cat map, jointly with G. N. G.
Gildas, D. Hermann, J. S. A. Eyebe Fouda, S. L. Sabat,
Multimedia Tools and Applications, 2022, https://link.springer.com/article/10.1007/s11042-022-13779-y
On non-linear characterizations of classical
orthogonal polynomials; jointly with P. Njionou
Sadjang, D. Kalda Sawalda, S. Mboutngam and M.
Foupouagnigni, Mediterranean Journal of Mathematics,
2022, https://doi.org/10.1007/s00009-022-02207-y
System dynamics
monitoring using PIC micro-controller-based PLSE,
jointly with G. M. Djeufa Dagoumguei, S. Tagne and
J. S. A. Eyebe Fouda, Chaos 33 (7), 2023, https://doi.org/10.1063/5.0136234
On a
bivariate kind of q -Bernoulli
polynomials , jointly with P. Njionou
Sadjang and M. Masjed-Jamei. Bull. Cl. Sci.
Math. Nat. Sci. Math. 48 , 2023, 15-29.
Complexity
from ordinal pattern positioned slopes
(COPPS) , jointly with J. S. A. Eyebe
Fouda, J. Kurths, N. Marwan and Th. Penzel,
Chaos, Solitons and
Fractals 181, 2024, 114708 , https://doi.org/10.1016/j.chaos.2024.114708
Properties
of some finite families of classical
orthogonal polynomials, jointly with
D. D. Tcheutia.
Submitted
for publication.
Bivariate
hypergeometric-trigonometric
series and their partial
differential equations,
jointly with M. Masjed-Jamei.
Submitted
for publication.
Multiple
hypergeometric representations of classical
orthogonal polynomial systems , jointly
with D. D.
Tcheutia.
Submitted
for
publication.
Corresponding
Maple worksheet: Multiple_hypergeometric_representations.mw ,
Multiple_hypergeometric_representations.pdf
Publications in Conference Proceedings and
Unrefereed Publications
Close-to-convex
functions, univalence criteria and quasiconformal
extension . Ann. Univ. Mariae Curie-Sklodowska
Sect. A. Math. 1 5 , 1986, 97-103 (Zbl. Math.
649.30011 (M. T. McGregor); MR 89c:30024 (J. G.
Krzyz)).
Convex functions and the
Nehari univalence criterion. In: Complex
Analysis, Proc. of the XIII. Rolf
Nevanlinna-Colloquium, Joensuu, August 1987, published
by I. Laine, S. Rickman and T. Sorvali, Lecture Notes
in Mathematics 1 3 5 1 ,
Springer, Berlin-Heidelberg-New York, 1988, 214-218 (Zbl. Math.
661.30009 (V. Karunakaran); MR
91f:30021 (Abstract review)).
Parallel
accessible domains and domains that are convex in
some direction. In: Partial differential
equations with complex analysis, published by H.
Begehr and A. Jeffrey, Pitman Research Notes in
Mathematics Series 2 6 2 , 93-105,
Longman, 1992 (MR 93m:30012
(A. W. Goodman); Zbl.
Math. 787.30008 (R. McLaughlin)).
Algorithmic
development of power series. In: Artificial
intelligence and symbolic mathematical computing, ed.
by J. Calmet and J. A. Campbell, International
Conference AISMC-1, Karlsruhe, Germany, August 1992,
Proceedings, Lecture Notes in Computer Science 7 3 7 ,
Springer, Berlin-Heidelberg, 1993, 195-213 (MR 95f:68115 (Summary)).
Examples for the algorithmic
calculation of formal Puiseux, Laurent and power
series. SIGSAM Bulletin 2 7 , 1993,
20-32.
On families of iterated
derivatives. SIGSAM Bulletin 2 8 ,
1994, 10-26.
Algorithmische Bestimmung von
Differentialgleichungen . ZAMM Special issue on
occasion of the GAMM-Jahrestagung 1994 in
Braunschweig, ZAMM 7 5 S II, 1995,
S533-S534.
Algebraische Darstellung
transzendenter Funktionen. Themen und
Anwendungen der Computeralgebra,
Computeralgebra-Rundbrief 1 6 ,
Fachgruppe Computeralgebra, 1995, 12-18.
REDUCE package for
indefinite and definite summation. SIGSAM
Bulletin 2 9 , 1995, 14-30.
Symbolic computation of sums with
Macsyma. Proceedings of the Workshop on
Functional-Analytic Methods in Complex Analysis and
Applications to Partial Differential Equations ,
Trieste, Italy, January 1993, Eds. W. Tutschke, A. S.
Mshimba, World Scientific Publishing Co., 1995,
277-292.
Schwarz-Christoffel mappings:
Symbolic computation of mapping functions for
symmetric polygonal domains. Proceedings of the
Workshop on Functional-Analytic Methods in Complex
Analysis and Applications to Partial Differential
Equations , Trieste, Italy, January 1993, Eds. W.
Tutschke, A. S. Mshimba, World Scientific Publishing
Co., 1995, 293-305.
Symbolic computation of formal
power series with Macsyma. Proceedings of the Workshop
on Functional-Analytic Methods in Complex Analysis
and Applications to Partial Differential Equations ,
Trieste, Italy, January 1993, Eds. W. Tutschke, A. S.
Mshimba, World Scientific Publishing Co., 1995,
306-328.
Was ist \(0^0\)? In: Der
Mathematikunterricht 4 1 (4/1995), Derive-Projekte
im Mathematikunterricht , published by W. Koepf,
1995, 65-71 (Zbl. Didaktik Math. 1995, I30-3113).
Workshop für Fortgeschrittene. Proceedings of the Derive
Days Düsseldorf , 19.-21. April 1995. Ed. by B.
Barzel, Landesmedienzentrum Rheinland-Pfalz,
Düsseldorf, 1995, 191-201.
Note on a problem of Koornwinder. Newsletter of the SIAM
Activity Group on Orthogonal Polynomials and Special
Functions 7-1 , 1996, 18-19.
Numeric versus symbolic
computation. In: R. P. Gilbert et al.: Recent
developments in complex analysis and computer algebra.
Kluwer, 1999, 179-203.
Orthogonal polynomials and
computer algebra . In: R. P. Gilbert et al.
(Ed.): Recent Developments in Complex Analysis and
Computer Algebra , Kluwer, 1999, 205-234 (Zbl. Math.
955.68131 (Summary)).
Mathematics with DERIVE as
didactical tool. Plenary talk at the First
Belgian Congress on Information Technology in Maths
Education, Brussels, May 2000. The DERIVE-Newsletter 38 ,
2000, 23-35.
Computer Algebra
Methods for Orthogonal Polynomials . Plenary talk
at the International Conference on Difference
Equations, Special Functions and Applications, Munich,
Germany, 25-30 July 2005, J. Cushing, S. Elyadi, R.
Lasser, V. Papageorgiou, A. Ruffing, W. Van Assche
(Eds), World Scientific, 2007, 325-343.
Mathe
ist überall . prisma, addendum of the University
of Kassel magazine publik
04 (2008) , May 2008, p. 4.
The German Website
Mathematik.de . In: E. Behrends et al.:(Eds.): Raising
Public Awareness of Mathematics . Springer. 2012,
23-36.
Einleitung, jointly with R. Biehler, R. Bruder and
R. Hochmuth. In: Mathematische
Vor- und Brückenkurse. Konzepte, Probleme und
Perspektiven , edited by I. Bausch, R. Biehler,
R. Bruder, P. Fischer, R. Hochmuth, W. Koepf, St.
Schreiber, Th. Wassong, Springer Spektrum, Wiesbaden,
2014.
Some steps
to improve software information , jointly
with A. Heinle and W. Sperber. Themen und
Anwendungen der Computeralgebra, in
Computeralgebra-Rundbrief 60 , Fachgruppe
Computeralgebra, 2017, 9-16, and in ACM
Communications in Computer Algebra 51
(1), Issue 199, March 2017, 1-11.
Computer Algebra, Power
Series and Summation . In: Orthogonal
Polynomials, 2nd AIMS-Volkswagen Stiftung
Workshop, Douala, Cameroon, 5-12 October,
2018, edited by M. Foupouagnigni and W. Koepf,
Birkhäuser, 2020,113-136.
Orthogonal Polynomials
and Computer Algebra . In: Orthogonal
Polynomials, 2nd AIMS-Volkswagen Stiftung
Workshop, Douala, Cameroon, 5-12 October,
2018, edited by M. Foupouagnigni and W. Koepf,
Birkhäuser, 2020, 479-493.
Power
series representations of hypergeometric type
functions , jointly with B. Teguia Tabuguia. In:
Corless R., Gerhard J., Kotsireas I. (Eds.): Maple in
Mathematics Education and Research. MC 2020.
Communications in Computer and Information Science
1414, Springer, 376-393.
Symbolic computation of hypergeometric type and
non-holonomic power series, jointly with B. Teguia
Tabuguia, 2021: https://arxiv.org/abs/2102.04157
Recurrence
equations involving different orthogonal
polynomial sequences and applications, jointly
with D. D. Tcheutia and A. Jooste, 2021: https://arxiv.org/abs/2110.13305 . Corresponding Maple file , pdf .
Didactical Publications
Integration mit Derive ,
jointly with A. Ben-Israel. Didaktik der Mathematik 2 1 ,
1993, 40-50 (Zbl. Didaktik Math. 1993, I54-2134).
Eine Vorstellung von Mathematica
und Bemerkungen zur Technik des Differenzierens .
Didaktik der Mathematik 2 1 , 1993,
125-139.
Ein elementarer Zugang zu
Potenzreihen . Didaktik der Mathematik 2 1 ,
1993, 292-299 (Zbl. Didaktik Math. 1994, I34-0206).
Schmiegegleichheit in der
Analysis , jointly with A. Ben-Israel. Didaktik
der Mathematik 2 2 , 1994, 113-129 (Zbl.
Didaktik Math. 1994, I24-2161).
The definite nature of
indefinite integrals , jointly with A.
Ben-Israel. The International Derive Journal 1
(1), 1994, 115-131 (Zbl. Didaktik Math. 1994,
I50-1717).
An asymptotic version of the
Goldbach Conjecture . The International Derive
Journal 1 (2), 1994, 115-123 (Zbl. Didaktik
Math. 1995, F60-0894).
Making change with
Derive: different approaches , jointly with A.
Ben-Israel. The International Derive Journal 2
(3), 1995, 72-78.
Graphische Darstellungen im
Analysisunterricht . Praxis der Mathematik 3 9
(1), 1997, 31-37.
Numeric versus symbolic
computation . International Journal of Computer
Algebra in Mathematics Education 5 (1), 1998,
29-54.
VEMINT – Interaktives Lernmaterial für mathematische
Vor- und Brückenkurse, jointly with I. Bausch, R.
Biehler, R. Bruder, P. R. Fischer, R. Hochmuth, Th.
Wassong. In: Mathematische
Vor- und Brückenkurse. Konzepte, Probleme und
Perspektiven , edited by I. Bausch, R. Biehler,
R. Bruder, P. Fischer, R. Hochmuth, W. Koepf, St.
Schreiber, Th. Wassong, Springer Spektrum, Wiesbaden,
2014.
Studieneingangstests
und Studienerfolg. Mögliche Zusammenhänge am
Beispiel zweier Hochschulen , jointly with G.
Greefrath, Ch. Neugebauer, G. Hoever. In: J. Roth and
J. Ames (Eds.): Beiträge zum Mathematikunterricht,
Band 1, WTM-Verlag, Münster, 2014, 451-454, https://eldorado.tu-dortmund.de/handle/2003/33039
Der
Beitrag der Bildungsstandards zum Übergang
Sekundarstufe II - Universität , jointly with J.
Kramer. In: W. Blum, S. Vogel, Ch. Drüke-Noe and A.
Roppelt (Eds.): Bildungsstandards aktuell: Mathematik
in der Sekundarstufe I, Bildungshaus Schulbuchverlage,
Braunschweig, 2015, 125-131.
Einsatz von CAS in
der Hochschulmathematik . In: Heintz, G.,
Pinkernell, G., Schacht, F. (Eds.): Digitale Werkzeuge
für den Mathematikunterricht. Festschrift für
Hans-Jürgen Elschenbroich, 2016, 289-295. Verlag
Seeberger, Neuss. ISBN 978-3-940516-20-6.
Is
there a link between preparatory course attendance
and academic success? A case study of degree
programmes in electrical engineering and computer
science , jointly with G. Greefrath and Ch.
Neugebauer. International Journal of Research in
Undergraduate Mathematics Education 3 , 2017,
143-167.
Woher kommen die Mathematik-Defizite von
Abiturienten? In: B. Jungkamp, M. John-Ohnesorg
(Eds.): Können ohne Wissen, Bildungsstandards un
Kompetenzorientierung in der Praxis,
Friedrich-Ebert-Stiftung, Berlin, https://www.fes.de/e/koennen-ohne-wissen-bildungsstandards-und-kompetenzorientierung-in-der-praxis/
Anfängervorlesungen, jointly with D. Grieser, M.
Hoffmann and J. Kramer. In: G. Greefrath, M. Hoffmann,
W. Koepf (Eds.): Mathematik in Schule und
Hochschule - wie groß ist die Lücke und wie gehen
wir mit ihr um? Der
Mathematikunterricht 64 (5/2018),
Friedrich-Verlag, Seelze, 48-54.
Preprints and Technical Reports
A new algorithm for the
development of algebraic functions in Puiseux series .
Preprint B-92-21 Fachbereich Mathematik der Freien
Universität Berlin, 1992.
Formal power series ,
jointly with D. Gruntz. Konrad-Zuse-Zentrum Berlin
(ZIB), Preprint SC 93-31, 1993.
Spaces of functions
satisfying simple differential equations ,
jointly with D. Schmersau. Konrad-Zuse-Zentrum Berlin
(ZIB), Technical Report TR 94-2, 1994.
REDUCE packages on power
series , Z -transformation, residues and
trigonometric simplification. Konrad-Zuse-Zentrum
Berlin (ZIB), Technical Report TR 95-3, 1995.
Algorithms for classical
orthogonal polynomials , jointly with D.
Schmersau. Konrad-Zuse-Zentrum Berlin (ZIB), Preprint
SC 96-23, 1996.
A Mathematica package
on orthogonal polynomials and special functions.
Konrad-Zuse-Zentrum Berlin (ZIB), Preprint SC 96-53,
1996.
REDUCE package for the
indefinite and definite summation of q -hypergeometric
terms , jointly with H. Böing.
Konrad-Zuse-Zentrum Berlin (ZIB), Technical Report TR
97-04, 1997.
Software-Downloads
Mathematica :
Maple:
FPS.mpl , updated for
Maple 6-9; this is now included in Maple as
convert(...,FormalPowerSeries)
hsum.mpl , Maple
package on hypergeometric summation
hsum19.mpl , updated
for Maple 2019
maple.hdb , Maple Help
DataBase for FPS, hsum and qsum
qsum.mpl , Maple
package on q -hypergeometric summation
qsum19.mpl , updated
for Maple 2019
qsum.mws
qsum6.mws , updated
for Maple 6-9
retode.mpl , Maple
package on classical orthogonal polynomial
solutions of recurrence equations
retode.mws
qFPS , Maple package on
Formal q-Power Series
Reduce:
Important Reviews
Review of the article The Bieberbach conjecture ,
by Lenard Weinstein, Zbl. Math.
743.30021 , 1993.
Book Review: Learning mathematics through DERIVE ,
by John S. Berry, Edward Graham and Antony J.P.
Watkins, Zbl.
Math. 835.26001 , 1993.
Book Review: Das Mathematica-Arbeitsbuch , by
Elkedagmar Heinrich and Hans-Dieter Janetzko, Zbl. Math.
842.680401 , 1994.
Book Review: Introduction to
Maple , by André Heck, SIAM Review 37,
1995, 132-135.
Book Review: Learning modelling with DERIVE ,
by M.Stewart Townend and David C. Pountney, Zbl. Math.
897.00008 , 1995.
Book Review: Mathematik entdecken mit DERIVE -
von der Algebra bis zur Differentialrechnung , by
Jerry Glynn, Zbl.
Math. 904.00002 , 1996.
Book Review: Fonctions analytiques , by Nino
Boccara, Zbl.
Math. 915.30001 , 1996.
Review of the article A High-School Algebra,
``Formal Calculus,'' Proof of the Bieberbach
Conjecture [After L. Weinstein] , by Doron
Zeilberger, Zbl.
Math. 894.30013 , 1998.
Book Review: A=B , by
Marko Petkovsek, Herbert S. Wilf and Doron Zeilberger,
SIAM Review 39, 1997, 538-540.
Book Review: Special Functions , by George E.
Andrews, Richard Askey and Ranjan Roy, Newsletter of the SIAM
Activity Group on Orthogonal Polynomials and Special
Functions 10.1 , October 1999, and Zbl. Math. 920.33001 .
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