$(p,q)$-complex It\^o--Hermite polynomials
Classical Analysis and ODEs
2020-11-02 v1 Complex Variables
Abstract
We introduce two classes of -It\^o--Hermite polynomials, the post-quantum analogs of the -It\^o--Hermite polynomials introduced recently by Ismail and Zhang. We study their basic properties such as their operational formulas of Rodrigues type, the corresponding raising and lowering operators as well as their generating functions and the -differential equations they obey.
Cite
@article{arxiv.2010.16406,
title = {$(p,q)$-complex It\^o--Hermite polynomials},
author = {Abdelhadi Benahmadi and Allal Ghanmi},
journal= {arXiv preprint arXiv:2010.16406},
year = {2020}
}
Comments
12 pages