A generalization of Apostol type of Hermite-Genocchi polynomials

TL;DR

This paper introduces a new generalized family of Apostol Hermite-Genocchi polynomials, explores their properties, and discusses their applications in probability and reliability theory.

Contribution

It presents a novel generalization of Apostol Hermite-Genocchi polynomials and investigates their mathematical properties and potential applications.

Findings

Derived new properties of the generalized polynomials

Established connections with probability distributions

Suggested applications in reliability analysis

Abstract

The main purpose of this paper is to introduce and investigate the various properties of a new generalization of Apostol Hermite-Genocchi polynomials. We derive many useful results involving new generalized Apostol Hermite-Genocchi polynomials. We also consider some statistical application of the new family in probability distribution theory and reliability.