Some identities of q-Euler polynomials arising from q-umbral calculus

Preprint

28 June 2013

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.1306.6901

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.

Keywords

NUMBERS AND POLYNOMIALS
INTERESTING IDENTITIES
POLYNOMIALS ARISING
EULER POLYNOMIALS
CALCULUS RECENTLY
UMBRAL CALCULUS

All Related Versions

Version 1, 2013-06-28, ArXiv
Version 1, 2012-11-15, ArXiv (Unconfirmed version)

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