Science and Education Publishing Turkish Journal of Analysis and Number Theory ISSN Pending 1 1 2013 09 23 q-Analogue of p-Adic log Γ Type Functions Associated with Modified q-Extension of Genocchi Numbers with Weight α and β 9 12 EN Erdoğan Şen Department of Mathematics, Faculty of Science and Letters, Namik Kemal University, Tekirdağ, Turkey Mehmet Acikgoz Serkan Araci Atatürk Street, 31290 Hatay, TURKEY TJANT2013113 10.12691/tjant-1-1-3 2013 09 14 2013 09 21 2013 09 23 The p-adic log gamma functions associated with q-extensions of Genocchi and Euler polynomials with weight α were recently studied . By the same motivation, we aim in this paper to describe q-analogue of p-adic log gamma functions with weight alpha and beta. Moreover, we give relationship between p-adic q-log gamma functions with weight (α,β) and q-extension of Genocchi numbers with weight alpha and beta and modified q-Euler numbers with weight α.