Two-index multidimensional Gegenbauer polynomials and their integral representations. (Q1410970)
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scientific article; zbMATH DE number 1993289
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two-index multidimensional Gegenbauer polynomials and their integral representations. |
scientific article; zbMATH DE number 1993289 |
Statements
Two-index multidimensional Gegenbauer polynomials and their integral representations. (English)
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15 October 2003
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The paper deals with properties of two-index multivariable Gegenbauer polynomials and certain gereralizations. By means of the connection of these polynomials with the Hermite-Kampé de Fériet polynomials and suitable generalizations the authors derive several properties of the polynomials in consideration, such as addition and duplication theorems.
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Multidimensional polynomials
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Bessel functions
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Gegenbauer (or ultraspherical) polynomials
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Hermite-Kampé de Fériet (HKdF) polynomials
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addition and multiplication theorems
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free electron lasers
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