On the families of q-Euler polynomials and their applications
Araci, S., Acikgoz, M., Jolany, H. (2015). On the families of q-Euler polynomials and their applications. EKB Journal Management System, 23(1), 1-5. doi: 10.1016/j.joems.2014.03.002
Serkan Araci; Mehmet Acikgoz; Hassan Jolany. "On the families of q-Euler polynomials and their applications". EKB Journal Management System, 23, 1, 2015, 1-5. doi: 10.1016/j.joems.2014.03.002
Araci, S., Acikgoz, M., Jolany, H. (2015). 'On the families of q-Euler polynomials and their applications', EKB Journal Management System, 23(1), pp. 1-5. doi: 10.1016/j.joems.2014.03.002
Araci, S., Acikgoz, M., Jolany, H. On the families of q-Euler polynomials and their applications. EKB Journal Management System, 2015; 23(1): 1-5. doi: 10.1016/j.joems.2014.03.002

On the families of q-Euler polynomials and their applications

Journal of the Egyptian Mathematical Society
Volume 23, Issue 1, 2015, Pages 1-5    PDF (436.68 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.03.002
Authors
Serkan Araci1; Mehmet Acikgoz2; Hassan Jolany* 3
1Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, 27410 Gaziantep, Turkey
2University of Gaziantep, Faculty of Science and Arts, Department of Mathematics, 27310 Gaziantep, Turkey
3School 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.
Keywords
Euler numbers and polynomials; q-Euler numbers and polynomials; Weighted q-Euler numbers and polynomials; Weighted q-Euler-Zeta function; p-adic q-integral on Zp
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