On The Class Of $2D$ $q$-Appell Polynomials
Number Theory
2015-12-11 v1
Abstract
In this research, as the new results of our previously proposed definition for the new class of -Appell polynomials, we derive some interesting relations including the recurrence relation and partial -difference equation of the aforementioned family of -polynomials. Next, as some famous examples of this new defined class of -polynomials, we obtain the corresponding relations to the -Bernoulli polynomials, -Euler polynomials as well as -Genocchi polynomials.
Keywords
Cite
@article{arxiv.1512.03255,
title = {On The Class Of $2D$ $q$-Appell Polynomials},
author = {Marzieh Eini Keleshteri and Nazim I. Mahmudov},
journal= {arXiv preprint arXiv:1512.03255},
year = {2015}
}