A note on the (h,q)-Zeta type function with weight alpha

TL;DR

This paper explores the symmetric properties of the (h,q)-Zeta function with weight alpha, deriving identities for related polynomials and revealing interesting mathematical properties.

Contribution

It introduces new symmetric identities for the (h,q)-Zeta function and (h,q)-Genocchi polynomials with weight alpha, expanding understanding of their properties.

Findings

Derived symmetric property of the (h,q)-Zeta function with weight alpha

Established new identities for (h,q)-Genocchi polynomials with weight alpha

Revealed interesting properties of these functions and polynomials

Abstract

The objective of this paper is to derive symmetric property of (h,q)-Zeta function with weight alpha. By using this property, we give some interesting identities for (h,q)-Genocchi polynomials with weight alpha. As a result, our applications possess a number of interesting property which we state in this paper.