New generating functions for a class of generalized Hermite polynomials (Q5949579)
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scientific article; zbMATH DE number 1676048
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New generating functions for a class of generalized Hermite polynomials |
scientific article; zbMATH DE number 1676048 |
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New generating functions for a class of generalized Hermite polynomials (English)
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28 July 2002
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In this paper the authors make use of operational techniques and a particular case of a theorem on bilateral generating functions due to the reviewer and \textit{H. M. Srivastava} [Pac. J. Math. 42, 755-762 (1972; Zbl 0242.33015)] to derive some families of linear, bilinear and mixed multilateral generating functions for a certain generalization of the classical Hermite polynomials defined by \textit{H. W. Gould} and \textit{A. T. Hopper} [Duke Math. J. 29, 51-63 (1962 Zbl 0108.06504)].
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Hermite polynomials
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