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

Erdoğan Şen^1, , 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

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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