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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A projection formula for the Askey-Wilson polynomials and an application
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by Mizan Rahman
Proc. Amer. Math. Soc. 103 (1988), 1099-1107
DOI: https://doi.org/10.1090/S0002-9939-1988-0954990-3
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Abstract:

A projection formula for ${p_n}(x;a,b,c,d|q)$, the Askey-Wilson polynomials, is obtained by using a generalization of Askey and Wilson’s $q$-beta integral. The result is used to find a $q$-analogue of the Feldheim-Vilenkin formula for ultraspherical polynomials. A $q$-analogue of the ultraspherical polynomials, other than the one due to Rogers, is also introduced.
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Bibliographic Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 103 (1988), 1099-1107
  • MSC: Primary 33A65; Secondary 05A30
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0954990-3
  • MathSciNet review: 954990