Some identities of q-Euler polynomials arising from q-umbral calculus
Number Theory
2013-07-01 v1
Abstract
Recently, Araci-Acikgoz-Sen derived some interesting identities on weighted q-Euler polynomials and higher-order q-Euler polynomials from the applications of umbral calculus (See [1]). In this paper, we develop the new method of q-umbral calculus due to Roman and we study new q-extension of Euler numbers and polynomials which are derived from q-umbral calculus. Finally, we give some interesting identities on our q-Euler polynomials related to the q-Bernoulli numbers and polynomials of Hegazi and Mansour.
Cite
@article{arxiv.1306.6901,
title = {Some identities of q-Euler polynomials arising from q-umbral calculus},
author = {Dae San Kim and Taekyun Kim},
journal= {arXiv preprint arXiv:1306.6901},
year = {2013}
}
Comments
12 pages