p-adic interpolation function related to multiple generalized Genocchi numbers

Abstract

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 \c{hi} at negative integers in complex plane and we define 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.

10 pages

References in corpus (4)

• $q$-Bernoulli Numbers and Polynomials Associated with Multiple $q$-Zeta Functions and Basic $L$-series
• On the multiple q-Genocchi and Euler numbers
• Explicit Formulas involving q-Euler Numbers and Polynomials
• p-adic interpolating function associated with modified Dirichlet's type of twisted q-euler numbers and polynomials with weight alpha