The \(H_q\)-classical orthogonal polynomials (Q1599295)
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scientific article; zbMATH DE number 1752511
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(H_q\)-classical orthogonal polynomials |
scientific article; zbMATH DE number 1752511 |
Statements
The \(H_q\)-classical orthogonal polynomials (English)
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9 June 2002
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The authors expose the readers to a certain class of \(q\)-analogues of classical orthogonal polynomials such as \(q\)-Laguerre, little \(q\)-Laguerre, big \(q\)-Jacobi polynomials, etc. by presenting the results for this class of polynomials, most of them well-known in the literature, in a coherent form. This nice attempt of bringing together the various results such for example as Rodrigue's formula, integral representation satisfied by this class of polynomials will be quite useful for researchers and other interested readers.
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Hahn's property
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Rodrigues formula
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\(q\)-derivative operator
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\(q\)-analogues
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0.9602828
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0.9490821
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0.9477566
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0.94542754
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0.94304055
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0.93908465
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0.9359968
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0.93102056
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