Inversion formulas involving orthogonal polynomials and some of their applications
Classical Analysis and ODEs
2007-05-23 v1
Abstract
We derive inversion formulas involving orthogonal polynomials which can be used to find coefficients of differential equations satisfied by certain generalizations of the classical orthogonal polynomials. As an example we consider special symmetric generalizations of the Hermite polynomials.
Keywords
Cite
@article{arxiv.math/9908163,
title = {Inversion formulas involving orthogonal polynomials and some of their applications},
author = {Roelof Koekoek},
journal= {arXiv preprint arXiv:math/9908163},
year = {2007}
}
Comments
15 pages, submitted for publication in the Proceedings of the International Workshop on Special Functions (Asymptotics, Harmonic Analysis and Mathematical Physics), City University of Hong Kong, Kowloon, Hong Kong, June 21-25, 1999