Identities involving the (h, q)-Genocchi polynomials and (h,q)-zeta-type function

Abstract

The fundamental objective of this paper is to obtain some interesting properties for (h, q)-Genocchi numbers and polynomials by using the fermionic p-adic q-integral on ?p and mentioned in the paper q-Bernstein polynomials. By applying the Mellin transformation to the generating function of (h, q)-Genocchi polynomials, we define (h, q)-Zeta-type function. Moreover, we derive symmetric properties of (h,q)-Zeta function and from these properties we give symmetric property of (h, q)-Genocchi polynomials.