Divided difference operators and classical orthogonal polynomials (Q910535)
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scientific article; zbMATH DE number 4140177
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Divided difference operators and classical orthogonal polynomials |
scientific article; zbMATH DE number 4140177 |
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Divided difference operators and classical orthogonal polynomials (English)
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1989
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The divided difference operator introduced by \textit{R. Askey} and \textit{J. Wilson} [Mem. Am. Math. Soc. 319, 55 p. (1985; Zbl 0572.33012)] plays the same role for the \({}_ 4\phi_ 3\) orthogonal polynomials that the derivative does for Jacobi polynomials. This article gives a nice derivation of the connection coefficient result of \textit{L. J. Rogers} [Proc. Lond. Math. Soc. 26, 15-32 (1895)] using this divided difference operator.
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divided difference operator
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