eng Science and Education Publishing Turkish Journal of Analysis and Number Theory ISSN Pending 2013-09-23 1 1 17 22 10.12691/tjant-1-1-5 TJANT2013115 article Serkan Araci mtsrkn@hotmail.com 1 Mehmet Acikgoz 2 Erdoğan Şen 3 Hatay, Turkey Department of Mathematics, Faculty of Science and Arts, University of Gaziantep, Gaziantep, Turkey Department of Mathematics, Faculty of Science and Letters, Namik Kemal University, Tekirdağ, Turkey In the present paper, we deal with multiple generalized Genocchi numbers and polynomials. Also, we introduce analytic interpolating function for the multiple generalized Genocchi numbers attached to χ at negative integers in complex plane and we de.ne the multiple Genocchi p-adic L-function. Finally, we derive the value of the partial derivative of our multiple p-adic l-function at s = 0. http://pubs.sciepub.com/tjant/1/1/5/tjant-1-1-5.pdf multiple generalized Genocchi numbers and poly-nomials Euler-Gamma function p-adic interpolation function multiple gen-eralized zeta function