Cohl, H.
and MacKenzie, C.
(2013),
Generalizations of generating functions for hypergeometric orthogonal polynomials with definite integrals, Journal of Mathematical Analysis and Applications, [online], https://doi.org/10.1016/j.jmaa.2013.04.067
(Accessed September 8, 2024)
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.
Generalizations of generating functions for hypergeometric orthogonal polynomials with definite integrals
Published
Author(s)
,
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.Citation
Journal of Mathematical Analysis and Applications
Volume
407
Issue
2
Pub Type
Journals
Download Paper
Keywords
Orthogonal polynomials, Generating functions, Connection coefficients, Generalized hypergeometric functions, Eigenfunction expansions, Definite integrals
Citation
Issues
If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.
Created April 30, 2013, Updated November 10, 2018