Some Identities of Barnes-Type Genocchi Polynomials

Abstract

In this paper, we study some identities of Barnes-type Genocchi polynomials. We derive those identities by using the fermionic \(p\)-adic integral on \(\mathbb{Z}_p\).
In \([13]\), D.S. Kim and T. Kim established some identities of higher-order Bernoulli and Euler polynomials arising from Bernoulli and Euler basis, respectively. Using the idea developed in \([13]\), we study various identities of special polynomials arising from Barnes-type Genocchi basis.