Turkish Journal of Analysis and Number Theory
ISSN (Print): 2333-1100 ISSN (Online): 2333-1232 Website: http://www.sciepub.com/journal/tjant
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Turkish Journal of Analysis and Number Theory. 2013, 1(1), 9-12
DOI: 10.12691/tjant-1-1-3
Open AccessResearch Article

q-Analogue of p-Adic logΓ Type Functions Associated with Modified q-Extension of Genocchi Numbers with Weight α and β

Erdoğan Şen1, , Mehmet Acikgoz2 and Serkan Araci3

1Department of Mathematics, Faculty of Science and Letters, Namik Kemal University, Tekirdağ, Turkey

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

3Hatay, Turkey

Pub. Date: September 23, 2013
(This article belongs to the Special Issue Recent developments in the areas of mathematics)

Cite this paper:
Erdoğan Şen, Mehmet Acikgoz and Serkan Araci. q-Analogue of p-Adic logΓ Type Functions Associated with Modified q-Extension of Genocchi Numbers with Weight α and β. Turkish Journal of Analysis and Number Theory. 2013; 1(1):9-12. doi: 10.12691/tjant-1-1-3

Abstract

The -adic gamma functions associated with -extensions of Genocchi and Euler polynomials with weight were recently studied . By the same motivation, we aim in this paper to describe -analogue of -adic gamma functions with weight alpha and beta. Moreover, we give relationship between -adic -gamma functions with weight () and -extension of Genocchi numbers with weight alpha and beta and modified -Euler numbers with weight .

Keywords:
modified -Genocchi numbers with weight alpha and beta modified -Euler numbers with weight alpha and beta -adic log gamma functions

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