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Proceedings of the American Mathematical Society

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

 

 

A short proof of a generating function for Jacobi polynomials


Author: Dennis Stanton
Journal: Proc. Amer. Math. Soc. 80 (1980), 398-400
MSC: Primary 33A65; Secondary 42C10
DOI: https://doi.org/10.1090/S0002-9939-1980-0580992-8
MathSciNet review: 580992
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Abstract: A short proof is given for Bailey's bilinear generating function for Jacobi polynomials. It depends only upon the orthogonality relation for Jacobi polynomials and a quadratic transformation for a hypergeometric series. A q-analog is also stated.


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DOI: https://doi.org/10.1090/S0002-9939-1980-0580992-8
Article copyright: © Copyright 1980 American Mathematical Society