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- W2895210900 abstract "The Askey--Wilson polynomials are the most general classical orthogonal polynomials that are known and the Nassrallah--Rahman integral is a very general extension of Euler's integral representation of the classical $_2F_1$ function. Based on a $q$-series transformation formula and the Nassrallah--Rahman integral we prove a $q$--beta integral which has twelve parameters, with several other results, both classical and new, included as special cases. This $q$-beta integral also allows us to derive a curious double $q$--series transformation formula, which includes one formula of Al--Salam and Ismail as a special case" @default.
- W2895210900 created "2018-10-12" @default.
- W2895210900 creator A5018083882 @default.
- W2895210900 date "2018-10-05" @default.
- W2895210900 modified "2023-09-23" @default.
- W2895210900 title "Askey--Wilson polynomials and a double $q$-series transformation formula with twelve parameters" @default.
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- W2895210900 doi "https://doi.org/10.48550/arxiv.1810.02918" @default.
- W2895210900 hasPublicationYear "2018" @default.
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