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arXiv · 2310.19689

An operational point of view to the theory of multi-variable/multi-index Hermite polynomials

Giuseppe Dattoli·Silvia Licciardi·Elio Sabia
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Abstract

The use of algebraic tools of operational and umbral nature is exploited to develop a new point of view and to extend the theory of Hermite polynomials, with more than one variable also of complex nature. The techniques we adopt includes multivariable/many index Hermite- Kampe-de-Feriet polynomials of order two and higher. It will be shown that the treatment, foreseen here, simplifies the study of the relevant properties and the associated computational technicalities.

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Giuseppe Dattoli, Silvia Licciardi, Elio Sabia. 2023-10-30. An operational point of view to the theory of multi-variable/multi-index Hermite polynomials. https://arxiv.org/abs/2310.19689

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