q-beta integrals and the q-Hermite polynomials (Q1111740)
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scientific article; zbMATH DE number 4075539
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | q-beta integrals and the q-Hermite polynomials |
scientific article; zbMATH DE number 4075539 |
Statements
q-beta integrals and the q-Hermite polynomials (English)
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1988
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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.
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q-Hermite polynomials
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q-beta integral
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Askey-Wilson integral
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