Cohl, H.
, Volkmer, H.
and Baeder, M.
(2015),
Generalizations of generating functions for higher continuous hypergeometric orthogonal polynomials in the Askey scheme, Constructive Approximation, [online], https://doi.org/10.1016/j.jmaa.2015.01.074
(Accessed October 18, 2025)
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Generalizations of generating functions for higher continuous hypergeometric orthogonal polynomials in the Askey scheme
Published
Author(s)
, Hans Volkmer, Michael Baeder
Abstract
We use connection relations and series rearrangement to generalize generating functions for several higher continuous orthogonal polynomials in the Askey scheme, namely the Wilson, continuous dual Hahn, continuous Hahn, and Meixner-Pollaczek polynomials. We also determine corresponding definite integrals using the orthogonality relations for these polynomials.Citation
Constructive Approximation
Pub Type
Journals
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Keywords
Orthogonal polynomials \and Generating functions \and Connection coefficients \and Generalized hypergeometric functions \and Eigenfunction expansions \and Definite integrals
Citation
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Created February 9, 2015, Updated November 10, 2018