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Askey–Wilson Polynomials by Means of a q-Selberg Type Integral

✍ Scribed by Katsuhisa Mimachi

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 141 KB
Volume: 147
Category: Article
ISSN: 0001-8708
DOI: 10.1006/aima.1999.1844

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✦ Synopsis

An integral representation of the Askey Wilson polynomials is presented in terms of a q-Selberg type integral. Our motivation consists in the study of q-Selberg type integrals from the viewpoint of de Rham theory or holonomic systems.

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A Simple Proof of an Aomoto-Type Extensi

A Simple Proof of an Aomoto-Type Extension of Askey's Last Conjectured Selberg q-Integral

✍ Kevin W.J. Kadell 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 162 KB

We establish an Aomoto-type extension of Askey's last conjectured Selberg q-integral, which was recently proved by Evans. We follow the lines of our proofs of Aomoto-type extensions of the Morris constant term q-identity and Gustafson's Askey-Wilson Selberg q-integral. We require integral forms of t