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On the generating function of two-variable Hermite’s polynomials

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Il Nuovo Cimento B (1971-1996)

Summary

We are interested, in this paper, in a generalized form of the generating function (GF) of Hermite’s polynomials with two variables. Some properties of these polynomials will be deduced considering only the argument of the GF. A linear third-order partial-derivative equation checked by these polynomials is, furthermore, found.

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Authors and Affiliations

  1. Laboratoire de Gravitation et Cosmologie Relativistes, Université Pierre et Marie Curie, CNRS/URA 769, Tour 22/12, Boîte Courrier 142 4 place Jussieu, 75252, Paris Cedex, France

    B. Léauté, G. Marcilhacy & T. Melliti

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  1. B. Léauté
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  2. G. Marcilhacy
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  3. T. Melliti
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Léauté, B., Marcilhacy, G. & Melliti, T. On the generating function of two-variable Hermite’s polynomials. Nuov Cim B 110, 1237–1244 (1995). https://doi.org/10.1007/BF02724613

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  • DOI: https://doi.org/10.1007/BF02724613

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