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A new proof of the Askey–Wilson integral via

✍ Scribed by X. R. Ma


Publisher
Springer US
Year
2010
Tongue
English
Weight
235 KB
Volume
24
Category
Article
ISSN
1382-4090

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Askey–Wilson Polynomials by Means of a q
✍ Katsuhisa Mimachi 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 141 KB

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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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