An extension of Apostol type of Hermite-Genocchi polynomials and their probabilistic representation

B. S. El-Desouky, Rabab Gomaa, Alia Mager

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.

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