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Generalizations of generating functions for hypergeometric orthogonal polynomials with definite integrals
Published
Author(s)
Howard S. Cohl, Connor M. MacKenzie
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.
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 October 18, 2025)