Some multivariable bilateral generating relations involving Jacobi polynomials (Q2778002)
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scientific article; zbMATH DE number 1719319
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some multivariable bilateral generating relations involving Jacobi polynomials |
scientific article; zbMATH DE number 1719319 |
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13 March 2002
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Some multivariable bilateral generating relations involving Jacobi polynomials (English)
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For a bounded multiple sequence of arbitrary complex numbers, the authors derive a family of bilateral generating functions involving the classical Jacobi polynomials. In these derivations, they make use of several definitions and results presented rather systematically by the reviewer and \textit{H. L. Manocha} [A treatise on generating functions (1984; Zbl 0535.33001)]. A fairly large number of special cases and consequences of the authors' main result are also considered.
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