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arXiv · 1306.6901

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

Dae San Kim·Taekyun Kim
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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.

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Dae San Kim, Taekyun Kim. 2013-06-28. Some identities of q-Euler polynomials arising from q-umbral calculus. https://arxiv.org/abs/1306.6901

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