Bailey's well-poised \(_{6}\psi _{6}\)-series implies the Askey-Wilson integral (Q616454)
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scientific article; zbMATH DE number 5834018
| Language | Label | Description | Also known as |
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| English | Bailey's well-poised \(_{6}\psi _{6}\)-series implies the Askey-Wilson integral |
scientific article; zbMATH DE number 5834018 |
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Bailey's well-poised \(_{6}\psi _{6}\)-series implies the Askey-Wilson integral (English)
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7 January 2011
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The Askey-Wilson \(q\)-beta integrals play a fundamental role in the theory of orthogonal polynomials. In this paper the authors show that those integrals can be obtained in a shorter and straightforward way from the Bailey's fundamental identity of bilateral well-poised \({}_6\psi_6\)-series. An extension to more general \(q-\)beta integrals is also given.
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Askey-Wilson q-beta integral
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well-poised \({}_6\psi_6\)-series
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