Research and Teaching activities of Prof. Dr. Mama Foupouagnigni

Research interests:

· Orthogonal Polynomials

· Special Functions

· Approximation Theory

· Computer Algebra

· Mathematics Education

· e-Learning

Teaching in 2006/2007:

·            MA402  (General Topology, Banach Spaces, Hilbert Spaces, Interpolation and Approximation) to students of  fourth year of the  Higher
Teachers Training College, Yaounde

·              MA207 (Basic Analysis and Algebra to students of the second   year of Physics and Chemistry of the
Higher Teachers Training College, Yaounde)

·             MA201 and MA202  (Analysis 3 and 4  to students of  the second  year of Mathematics of the  Higher Teachers Training College);

·             DM201  (Teaching  Methods of Mathematics to students of  the second  year of Mathematics of the  Higher Teachers Training College)

Refereed Journal Publications:

1- M. Foupouagnigni, M. N.Hounkonnou and A. Ronveaux: Laguerre-Freud equations for the recurrence
coefficients of Dw semi-classical orthogonal polynomials of class 1, J. Comput. Appl. Math. 99 (1998), 143-154. Link to published version. Preprint.

2- M. Foupouagnigni, W. Koepf and A. Ronveaux: The fourth-order difference equation satisfied by the
associated classical discrete orthogonal polynomials, J. Comput. Appl. Math. 92 (1998), 103-108. Link to published version. Preprint.

3 - M. Foupouagnigni, A. Ronveaux and W. Koepf : The fourth-order q-difference equation satisfied by the
first associated q-classical orthogonal polynomials, J. Comput. Appl. Math.101 (1999), 231-236. Link to published version. Preprint.

4 - M. Foupouagnigni, M. N. Hounkonnou and A. Ronveaux (1999): Fourth-order difference equation satisfied
by the associated orthogonal polynomials of the D-Laguerre-Hahn class,  J. of Symb. Comput.  28, 06 (1999)
801-818. Link to published version. Preprint.

5 - M. Foupouagnigni, A. Ronveaux and M. N. Hounkonnou : Fourth-order difference equation satisfied by the
associated orthogonal polynomials of the Dq-Laguerre-Hahn class,  J. Diff. Eqn.  Appl. 7/3 (2001), 445-472. Link to published version. Preprint.

6- M. Foupouagnigni, and A. Ronveaux : Fourth-order difference equation satisfied by the co-recursive
q-classical orthogonal polynomials. J. Comput. Appl. Math 133/1-2 (2001), 355-365. Link to published version. Preprint.

7 - M. Foupouagnigni and F. Marcellán : Characterization of the Dw - Laguerre-Hahn Functionals.
J. Diff. Eqn.  Appl. 8 (2002),      689-717. Link to published version. Preprint.

8- M. Foupouagnigni  and A. Ronveaux: Difference Equations for the Co-recursive rth Associated Orthogonal
Polynomials of the D_q     Laguerre-Hahn Class, J. Comput. Appl. Math. 153 (2003), 213-223 . Link to published version. Preprint.

9 - M. Foupouagnigni, W. Koepf and A. Ronveaux: On fourth-order difference equations for orthogonal
polynomials of a discrete variable: Derivation, factorization and solutions J. Diff. Eqn.  Appl. 9 (2003), 777-804. Link to published version. Preprint.

10 - W. Van Assche, M. Foupouagnigni:  Analysis of non-linear recurrence relations for the
recurrence coefficients of generalized Charlier polynomials,  J. nonlinear Math.  Phys. 10 (2)  (2003), 231-237. Link to published version. Preprint.

11-    M. Foupouagnigni, W. Koepf and A. Ronveaux: On solutions of  fourth-order differential equations
satisfied by some classes of orthogonal polynomials, J. Comput. Appl. Math. 162 (2004), 299-326. Link to published version. Preprint.

12- M. Foupouagnigni, W. Koepf and A. Ronveaux:  On factorization and solutions of q-difference equations
satisfied by some classes of orthogonal polynomials,  J. Diff. Eqn.  Appl. 10(8) (2004), 729-747. Link to published version. Preprint.

13- M. Foupouagnigni, on difference equations for orthogonal polynomials on nonuniform 
 lattices, J. Diff. Eqn.  Appl, 14(2) (2008), 127-174. Link to published version. Preprint.




 

Papers submitted to refereed Journals:

14- G. Bangerezako, M. Foupouagnigni: Laguerre-Freud equations for the recurrence coefficients of the
   Laguerre-Hahn orthogonal polynomials on special nonuniform lattices, submitted. --  ICTP Preprint No. IC2003119, (2003). Submitted.

              15- M. Foupouagnigni, M. Kenfack Nangho and S. Mboutngam. Characterization theorems for  classical orthogonal polynomials on nonuniform lattices: The functional approach. Submitted.
              16- M. Foupouagnigni,  W. Koepf, M. Kenfack Nangho and S. Mboutngam. On solutions of holonomic divided-difference          equations on nonuniform lattices. Submitted.

Papers in preparation:

Invitations and scientific meetings:

                   11/2008  University of Kassel, Department of Mathematics and      Computer Science, Kassel, Germany;

9-10/2008 United nations University, Vice-Rectorate Bonn

8-9/2007 Chalmers University, Department of Mathematics, Gothenburg, Sweden

· 08/2007  University of Kassel, Department of Mathematics and      Computer Science,  Kassel, Germany;

· 7/2006, University of Vigo, Departamento de Matematica Aplicada II, ETSI, Vigo, Spain

· 7-9/2006, The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy;

· 06/2006  University of Kassel, Department of Mathematics and      Computer Science,  Kassel, Germany;

· 09/2005-11/2005  The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy;

· 25-29/07/2005    International Conference on Difference Equations, Special Functions and Applications, Munich, Germany;

· 06/2005-08/2005  University of Kassel, Department of Mathematics and    Computer Science,  Kassel, Germany;

· 10/2003  International Workshop on Special functions, orthogonal polynomials, quantum groups and related topics, dedicated
to Dick Askey on his 70th birthday, Bexbach (October 18-22), Germany;

· 10/2003  University of Kassel, Department of Mathematics and      Computer Science,  Kassel, Germany;

· 07/2003-09/2003  The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy;

· 08/2002          Summer School in Orthogonal Polynomials and Special Functions,    Leuven, Belgium;

·  06/2002        International Workshop on Orthogonal Polynomials and      Approximation Theory, Leganes (Madrid) Spain;

· 02/2002         Facultés Universitaires Notre-Dame de la Paix, Namur, Belgium;

· 11/2001 - 11/2002  University of Kassel, Department of Mathematics and      Computer Science,  Kassel, Germany;

· 09/2001-10/2001 , Speak + Writte Gesellschaft für  Sprachunterricht mbH      Marburg, Germany;

· 06/1999         Meeting on: "Modélisation Mathématiques et simulation      numériques en environnement", Ouagadougou, Burkina-Faso;

· 04/1999            Meeting on " Outils Informatique dans la recherche en      Mathématiques", Yaounde, Cameroon;

· 09/1998            Meeting: GIRAGA VI, Yaounde, Cameroon;

· 07/1998            Meeting on " Méthodes Géométriques en Théorie Quantique de    champs", Porto-Novo, Benin;

· 03/1998    Katholieke Universiteit Leuven, Department of Mathematics,     Leuven, Belgium;

· 3/ 1998  Meeting on Orthogonal Polynomials and applications to Numerical    Analysis, Oberwolfach, Germany;

· 12/1997   Facultés Universitaires Notre-Dame de la Paix, Namur, Belgium;

· 09/1997       VIII Symposium Sobre Polynomios Orthogonales y sus      Applicationes, Sevilla, Spain;

· 09/1997 - 02 / 1998:  Konrad-Zuse-Zentrum für Informationstechnik Berlin,      Germany, DAAD research scholar;

· 12/1996  GIRAG V, Lokossa / Porto-Novo, Benin;

· 07/1995:   First College on Functional Analysis and Applications,    Accra, Ghana;

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