Science and Education Publishing Turkish Journal of Analysis and Number Theory ISSN Pending 1 1 2013 09 23 A Note on the p-Adic Interpolation Function for Multiple Generalized Genocchi Numbers 17 22 EN Serkan Araci Hatay, Turkey Mehmet Acikgoz Erdoğan Şen TJANT2013115 10.12691/tjant-1-1-5 2013 09 14 2013 09 21 2013 09 23 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.