A $q$-Umbral Approach to $q$-Appell Polynomials
Number Theory
2015-05-20 v1
Abstract
In this paper we aim to specify some characteristics of the so called family of -Appell Polynomials by using -Umbral calculus. Next in our study, we focus on -Genocchi numbers and polynomials as a famous member of this family. To do this, firstly we show that any arbitrary polynomial can be written based on a linear combination of -Genocchi polynomials. Finally, we approach to the point that similar properties can be found for the other members of the class of -Appell polynomials.
Keywords
Cite
@article{arxiv.1505.05067,
title = {A $q$-Umbral Approach to $q$-Appell Polynomials},
author = {Marzieh Eini Keleshteri and Nazim I. Mahmudov},
journal= {arXiv preprint arXiv:1505.05067},
year = {2015}
}