Generalizations of generating functions for hypergeometric orthogonal polynomials with definite integrals
Classical Analysis and ODEs
2013-02-12 v1
Abstract
We generalize generating functions for hypergeometric orthogonal polynomials, namely Jacobi, Gegenbauer, Laguerre, and Wilson polynomials. These generalizations of generating functions are accomplished through series rearrangement using connection relations with one free parameter for these orthogonal polynomials. We also use orthogonality relations to determine corresponding definite integrals.
Cite
@article{arxiv.1302.2474,
title = {Generalizations of generating functions for hypergeometric orthogonal polynomials with definite integrals},
author = {Howard S. Cohl and Connor MacKenzie and Hans Volkmer},
journal= {arXiv preprint arXiv:1302.2474},
year = {2013}
}