eng Science and Education Publishing Turkish Journal of Analysis and Number Theory ISSN Pending 2013-09-23 1 1 9 12 10.12691/tjant-1-1-3 TJANT2013113 article Erdoğan Şen mtsrkn@hotmail.com 1 Mehmet Acikgoz 2 Serkan Araci mtsrkn@hotmail.com 3 Department of Mathematics, Faculty of Science and Letters, Namik Kemal University, Tekirdağ, Turkey Department of Mathematics, Faculty of Science and Arts, University of Gaziantep, Gaziantep, Turkey Atatürk Street, 31290 Hatay, TURKEY 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. http://pubs.sciepub.com/tjant/1/1/3/tjant-1-1-3.pdf modified q-Genocchi numbers with weight alpha and beta modified q-Euler numbers with weight alpha and beta p-adic log gamma functions