Darstellungen orthogonaler Polynome - Research Information System | University of Kassel

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Darstellungen orthogonaler Polynome

Project Details

Project duration: 01/1998–12/2010

Website: http://www.mathematik.uni-kassel.de/~koepf

Abstract

In diesem Forschungsprojekt werden Algorithmen entwickelt, um die verschiedenen Darstellungsformen orthogonaler Polynomfamilien durch Differentialgleichungen, Rekursionsgleichungen, erzeugende Funktionen, Rodriguesformeln und Summendarstellungen ineinander überzuführen. Diese Algorithmen werden in Computeralgebrasystemen implementiert.

Research Areas

Mathematics

Publications

2012	Foupouagnigni, M., Koepf, W., Tcheutia, D.D., Njionou Sadjang, P., 2012. Representations of q-orthogonal polynomials. Journal of Symbolic Computation 47, 1347–1371. https://doi.org/10.1016/j.jsc.2012.03.002
2008	Foupouagnigni, M., 2008. On difference equations for orthogonal polynomials on nonuniform lattices. Journal of Difference Equations and Applications 14, 127–174.
2007	Koepf, W., 2007. Computer Algebra Methods for Orthogonal Polynomials, in: Jim Cushing, S.E. (Hrsg.), International Conference on Difference Equations, Special Functions and Applications. World Scientific, Singapore, S. 325–343.
2006	Foupouagnigni, M., 2006. On Difference and Differential Equations for Modifications of Classical Orthogonal Polynomials. Universität Kassel, Kassel.
2001	Koepf, W., Schmersau, D., 2001. On a structure formula for classical q-orthogonal polynomials. Journal of Computational and Applied Mathematics 136, 99–107. https://doi.org/10.1016/S0377-0427(00)00577-X
1999	Koepf, W., 1999. Efficient computation of Chebyshev polynomials, in: Wester, M. (Hrsg.), Computer Algebra Systems: A Practical Guide. John Wiley, Chichester, S. 79–99.
1999	Koepf, W., 1999. Orthogonal Polynomials and Computer Algebra, in: Gilbert, R.P. (Hrsg.), Recent Developments in Complex Analysis and Computer Algebra. Kluwer, Dordrecht, S. 205–234.
1998	Koepf, W., Schmersau, D., 1998. Representations of orthogonal polynomials. Journal of Computational and Applied Mathematics 90, 57–94. https://doi.org/10.1016/S0377-0427(98)00023-5
1994	Koepf, W., Schmersau, D., 1994. Bounded nonvanishing functions and Bateman functions. Complex Variables 25, 237–259.