Some identities of type degenerate poly-Genocchi numbers and polynomials

Abstract

The purpose of this paper is to introduce a new version of the degenerate poly-Genocchi polynomials and numbers called the type 2 degenerate poly-Genocchi polynomials and numbers by the modification of degenerate polyexponential function in the generating function. To investigate the properties of the proposed polynomials and numbers, we derive several explicit expressions and identities induced from new generating function. Also, we present some relations between the type 2 degenerate poly-Genocchi polynomials and numbers and some other well-known special polynomials and numbers. In addition, we consider the higher-order type 2 degenerate Genocchi polynomials and show some interesting identities involving those polynomials and the type 2 higherorder Changhee polynomials.