On The Degenerate Poly-Frobenius-Genocchi Polynomials Of Complex Variables

TL;DR

This paper introduces a new class of degenerate poly-Frobenius-Genocchi polynomials involving complex variables, derived from polyexponential functions, with explicit formulas and relations to other special numbers.

Contribution

It defines and investigates the properties of degenerate poly-Frobenius-Genocchi polynomials of complex variables, expanding the theory of special polynomials using polyexponential functions.

Findings

Derived explicit expressions for the new polynomials.

Established implicit relations with other special numbers.

Extended the theory of Frobenius-Genocchi polynomials to complex variables.

Abstract

The main aim of this paper is to define and investigate a new class of the degenerate poly-Frobenius-Genocchi polynomials with the help of the polyexponential functions. In this paper, we define the degenerate poly-Frobenius-Genocchi polynomials of complex variables arising from the modified polyexponential functions. We derive explicit expressions for these polynomials and numbers. Also, we obtain implicit relations involving these polynomials and some other special numbers and polynomials.