Difference equations of q-Appell polynomials
Classical Analysis and ODEs
2014-03-04 v1
Abstract
In this paper, we study some properties of the q-Appell polynomials, including the recurrence relations and the q-difference equations which extend some known calssical (q=1) results. We also provide the recurrence relations and the q-difference equations for q-Bernoulli polynomials, q-Euler polynomials, q-Genocchi polynomials and for newly defined q-Hermite polynomials, as special cases of q-Appell polynomials
Cite
@article{arxiv.1403.0189,
title = {Difference equations of q-Appell polynomials},
author = {Nazim I. Mahmudov},
journal= {arXiv preprint arXiv:1403.0189},
year = {2014}
}