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q-beta integrals and the q-Hermite polynomials
Waleed A. Al-Salam and Mourad Ismail |
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Vol. 135 (1988), No. 2, 209–221
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Abstract |
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The continuous q-Hermite polynomials are used to give a new proof of a q-beta integral which is an extension of the Askey-Wilson integral. Multilinear generating functions, some due to Carlitz, are also established. |
Mathematical Subject Classification
Primary: 33A30, 33A30
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Milestones
Received: 21 August 1987
Published: 1 December 1988
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Authors |
| Waleed A. Al-Salam | |
| Mourad Ismail | |
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