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- W3136757889 abstract "A proof of the orthogonality relation for the AskeyâWilson polynomials is given by using a generating function for the AskeyâWilson polynomials and the uniqueness of a rational function expansion. We further use the orthogonality relation for the AskeyâWilson polynomials and a $q$-series transformation formula to evaluate a general $q$-beta integral with eight parameters. The integrand of this $q$-beta integral is the product of two terminating $_5phi _4$ series and the value is a $_{10}phi _9$ series." @default.
- W3136757889 created "2021-03-29" @default.
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- W3136757889 date "2021-08-05" @default.
- W3136757889 modified "2023-10-18" @default.
- W3136757889 title "On the Askey–Wilson polynomials and a $q$-beta integral" @default.
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- W3136757889 doi "https://doi.org/10.1090/proc/15584" @default.
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