Dr. Daniel Duviol Tcheutia

Department of Mathematics
Faculty of Science
University of Yaoundé I

Office 201 (Second floor)
Tel.: +237 675 04 69 75
E-Mail: tcheutia@mathematik.uni-kassel.de
  daniel.tcheutia@aims-cameroon.org
  duvtcheutia@yahoo.fr
A picture I took in South Africa

Research Area

Orthogonal Polynomials, Hypergeometric and Basic Hypergeometric Functions, Computational Mathematics

PhD dissertation

Title: On Connection, Linearization and Duplication Coefficients of Classical Orthogonal Polynomials urn:nbn:de:hebis:34-2014071645714

Habilitation thesis

Title: Algorithmic Methods for Mixed Recurrence Equations, Zeros of Classical Orthogonal Polynomials and Classical Orthogonal Polynomial Solutions of Three-Term Recurrence Equations,doi:10.17170/kobra-20190904651. Corresponding Maple file

Publications in International Refereed Journals

  1. M. Foupouagnigni, D. D. Tcheutia, W. Koepf and K.N. Forwa, Approximation by interpolation: The Chebyshev nodes, submitted
  2. M. Masjed-Jamei, W. Koepf, D. D. Tcheutia, A finite sequence of Hahn-type discrete orthogonal polynomials, Journal of Difference Equations and Applications, 26:7 (2020) 952-965, DOI: 10.1080/10236198.2020.1801663
  3. D. D. Tcheutia, Recurrence equations and their classical orthogonal polynomial solutions on a quadratic or a q-quadratic lattice, Journal of Difference Equations and Applications, 25:7 (2019) 969-993, DOI: 10.1080/10236198.2019.1627346. retode.mpl, retodedemo.mw, hsum17.mpl, qsum17.mpl
  4. D. D. Tcheutia, Nonnegative linearization coefficients of the generalized Bessel polynomials, The Ramanujan Journal (2019) 48:217--231, https://doi.org/10.1007/s11139-018-0006-y
  5. D. D. Tcheutia, A. S. Jooste, W. Koepf, Quasi-orthogonality of orthogonal polynomials of a q-linear, quadratic and q-quadratic lattice, SIGMA, 2018. Corresponding Maple file
  6. D. D. Tcheutia, A. S. Jooste, W. Koepf, Mixed recurrence relations and interlacing properties for zeros of classical q-orthogonal polynomials, Applied Numerical Mathematics, 2017, DOI: 10.1016/j.apnum.2017.11.003. Corresponding Maple file
  7. D. D. Tcheutia, M. Foupouagnigni, I. Area, E. Godoy and Y. Guemo Tefo, Divided-difference equation and three-term recurrence relations of some bivariate q-orthogonal polynomials, Journal of Difference Equations and Applications, 23:12 (2017) 2004-2036, DOI: 10.1080/10236198.2017.1382485
  8. D. D. Tcheutia, Y. Guemo Tefo, M. Foupouagnigni, E. Godoy and I. Area, Linear partial divided difference equation satisfied by multivariate orthogonal polynomials on quadratic lattices, Mathematical Modeling of Natural Phenomena, 12 3 (2017) 14-43
  9. D. D. Tcheutia, P. Njionou Sadjang, W. Koepf and M. Foupouagnigni, Divided-difference equation, inversion, connection, multiplication and linearization formulae for the continuous Hahn and the Meixner-Pollaczek polynomials, Ramanujan Journal 45 (2017) 33-56, DOI: 10.1007/s11139-016-9870-5
  10. D. D. Tcheutia, M. Foupouagnigni, W. Koepf and P. Njionou Sadjang, Coefficients of multiplication formulas for classical orthogonal polynomials, Ramanujan Journal 39: 497-531, 2016, DOI: 10.1007/s11139-015-9682-z
  11. I. Area, J. Losada, Faical Ndairou, J.J. Nieto and D. D. Tcheutia, Mathematical modeling of 2014 Ebola outbreak, Mathematical Methods in the Applied Sciences, DOI: 10.1002/mma.3794, 2015
  12. M. Foupouagnigni, W. Koepf and D. D. Tcheutia, Connection and Linearization Coefficients of the Askey-Wilson Polynomials, Journal of Symbolic Computation 53 (2013) 96-118.
  13. M. Foupouagnigni, W. Koepf, D. D. Tcheutia and P. Njionou Sadjang, Representations of q-orthogonal polynomials, Journal of Symbolic Computation 47 (2012) 1347-1371.

Workshops, Conferences and Schools

  1. 15th International Symposium on Orthogonal Polynomials, Special Functions and Applications, Hagenberg, Austria, July 22 – 26, 2019 (as speaker)
  2. Computeralgebra Tagung, Kassel, Germany, May 16 – 18, 2019 (as speaker)
  3. AIMS-Volkswagen Stiftung Workshop on Introduction to Orthogonal Polynomials and Applications, Douala, Cameroon, October 5 - 12, 2018 (as Plenary Trainer)
  4. AIMS-Volkswagen Stiftung Workshop on Introduction to Computer Algebra and Applications, Douala, Cameroon, October 6 – 13, 2017 (as Plenary Trainer)
  5. Computeralgebra Tagung, May 04 – 06, 2017, Kassel, Germany (as speaker)
  6. 22nd Conference on Applications of Computer Algebra (ACA), August 1st – 4th , 2016, Kassel, Germany (as speaker)
  7. Third e-School on working with Moodle, course development and structuring and the opportunities of e-learning, from 30th April to 4th May 2012, Yaoundé, Cameroon
  8. Cameroon Mathematical Forum, March 19 – 21, 2012, Higher Training College Yaoundé, Cameroon (as speaker)
  9. Training Workshop on Computer Algebra, March 23-24, 2010, University of Yaoundé I, Cameroon
  10. COPROMAPH 6 workshop on «Contemporary Problems of Mathematical Physics», October 31 – November 4, 2009, Cotonou, Benin (as speaker)
  11. COPROMAPH 5 school on «Contemporary Problems of Mathematical Physics», October 24 – 30, 2009, Cotonou, Benin
  12. First Humboldt Kolleg Cameroon on «E-learning, Research-Development in Cameroon: Challenge and Perspectives», July 29 - 30, 2008, Yaoundé, Cameroon

Scientific Visits

  1. December 25, 2017—January 15, 2018: Research visit to the Department of Mathematics and Applied Mathematics of the University of Pretoria, South Africa
  2. June 16, 2014 -- July 18, 2014: Visit to the Mathematics Department of the University of Kassel, Germany with the defense of my Ph.D. thesis on July 14, 2014, sponsored by the Alexander von Humboldt Foundation
  3. June 06, 2013 -- August 28, 2013: Visit to the Mathematics Department of the University of Kassel, Germany sponsored by the Alexander von Humboldt Foundation
  4. June 01, 2012 -- August 31, 2012: Visit to the Mathematics Department of the University of Kassel, Germany sponsored by the DAAD Stibet fellowship

Some Maple Packages I used in my works

  1. FPS.mpl, Maple package on Formal Power Series included in Maple as convert(...,FormalPowerSeries)
  2. hsum17.mpl, Maple package on hypergeometric summation
  3. qsum17.mpl, Maple package on q-hypergeometric summation
  4. retode.mpl, Maple package on classical orthogonal polynomial solutions of recurrence equations
  5. qFPS.mpl, Maple package on Formal q-Power Series