On the families of q-Euler polynomials and their applications

Document Type : Original Article

Authors

1 Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, 27410 Gaziantep, Turkey

2 University of Gaziantep, Faculty of Science and Arts, Department of Mathematics, 27310 Gaziantep, Turkey

3 School of Mathematics, Statistics and Computer Science, University of Tehran, Iran

Abstract

In this paper, we focus on applications of q-Euler polynomials and obtain some new
combinatorial relations by using p-adic q-integral on Zp. Moreover, we derive distribution formula
(Multiplication Theorem) for Dirichlet type of q-Euler numbers and polynomials with weight a.
Also we apply the method of analytic continuation of q-Euler polynomials which is the main result
of this paper.

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