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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A new class of generating functions for hypergeometric polynomials.


Author: David Zeitlin
Journal: Proc. Amer. Math. Soc. 25 (1970), 405-412
MSC: Primary 33.20
DOI: https://doi.org/10.1090/S0002-9939-1970-0264123-3
MathSciNet review: 0264123
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Abstract: A new class of generating functions for generalized hypergeometric polynomials is obtained. Applications are given for the classical polynomials containing parameters, such as Jacobi, ultraspherical, and Laguerre polynomials, as well as for Hermite and Bessel polynomials. Two classes of generating functions recently obtained by J. W. Brown are discussed for independence.


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DOI: https://doi.org/10.1090/S0002-9939-1970-0264123-3
Keywords: Generating functions, generalized hypergeometric polynomials, Jacobi polynomials, ultraspherical polynomials, Laguerre polynomials, Bessel polynomials, Hermite polynomials
Article copyright: © Copyright 1970 American Mathematical Society