A commuting \(q\)-analogue of the addition formula for disk polynomials (Q1381507)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A commuting \(q\)-analogue of the addition formula for disk polynomials |
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A commuting \(q\)-analogue of the addition formula for disk polynomials (English)
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11 January 1999
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By starting from the addition formula for \(q\)-disk polynomials, which is an identity in noncommuting variables, the authors establish a basic analogue in commuting variables of the addition and product formula for disk polynomials. These contain, as limiting cases, the addition and product formula for little \(q\)-Legendre polynomials. As \(q \to 1\), the addition and product formula for disk polynomials are recovered.
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\(q-\)disk polynomials
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little \(q\)-Jacobi polynomials
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affine \(q\)-Krawtchouk polynomials
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addition formula
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product formula
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