Monomiality and a New Family of Hermite Polynomials
Classical Analysis and ODEs
2022-05-25 v1
Abstract
In this article we go deeply into the formulation and meaning of the monomiality principle and employ it to study the properties of a set of polynomials, which, asymptotically, reduce to the ordinary two variable Kampe de Feriet family. We derive the relevant differential equations and discuss the associated orthogonality properties, along with the relevant generalized forms.
Keywords
Cite
@article{arxiv.2205.11517,
title = {Monomiality and a New Family of Hermite Polynomials},
author = {Giuseppe Dattoli and Silvia Licciardi},
journal= {arXiv preprint arXiv:2205.11517},
year = {2022}
}
Comments
13 pages, 2 Figures