Some properties of generalized hypergeometric Appell polynomials
Combinatorics
2020-05-05 v1 Classical Analysis and ODEs
Abstract
In this paper, we present a new real-valued Appell-type polynomial family every member of which is expressed by mean of a generalized hypergeometric function. The generating exponential function of this type of polynomials is firstly discovered and the proof that they are of Appell-type ones is given. We present the differential operator formal power series representation as well as an explicit formula over the standard basis, and establish a new identity for the generalized hypergeometric function. Besides, we derive the addition, the multiplication and some other formulas for this polynomial family
Cite
@article{arxiv.2005.01676,
title = {Some properties of generalized hypergeometric Appell polynomials},
author = {L Bedratyuk. and N. Luno},
journal= {arXiv preprint arXiv:2005.01676},
year = {2020}
}