On the Barnes' Type Related to Multiple Genocchi Polynomials on ℤ p

Abstract

Using fermionic $p$-adic invariant integral on ${\mathbb{Z}}_p$, we construct the Barnes' type multiple Genocchi numbers and polynomials. From those numbers and polynomials, we derive the twisted Barnes' type multiple Genocchi numbers and polynomials. Moreover, we will find the Barnes' type multiple Genocchi zeta function.