An operational point of view to the theory of multi-variable/multi-index Hermite polynomials
Mathematical Physics
2023-10-31 v1 math.MP
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.
Keywords
Cite
@article{arxiv.2310.19689,
title = {An operational point of view to the theory of multi-variable/multi-index Hermite polynomials},
author = {Giuseppe Dattoli and Silvia Licciardi and Elio Sabia},
journal= {arXiv preprint arXiv:2310.19689},
year = {2023}
}