The Askey–Wilson Integral and Extensions

Wenchang Chu ()
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Wenchang Chu: School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China

Mathematics, 2023, vol. 11, issue 7, 1-19

Abstract: By means of the q -derivative operator method, we review the q -beta integrals of Askey–Wilson and Nassrallah–Rahman. More integrals are evaluated by the author, making use of Bailey’s identity of well-poised bilateral 6 ? 6 -series as well as the extended identity of Karlsson–Minton type for parameterized well-poised bilateral q -series.

Keywords: basic hypergeometric series; Bailey’s identity for well-poised 6 ? 6-series; the q -derivative operator; Askey–Wilson integral; Nassrallah–Rahman integral (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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