A generalization of Apostol type of Hermite-Genocchi polynomials

2017/08/18 by B. S. El-Desouky, El-Desouky, Beih S., Rabab S. Gomaa +3
Mathematics · #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1708.06619

openalex publication_date 2017/08/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• New Extension of Unified Family of Apostol-Type of Polynomials and Numbers
• Higher Order Apostol-Type Poly-Genocchi Polynomials with Parameters a, b and c
• The Multivariable Generalized Hermite-Type-Genocchi Polynomials of Order a
• The 2-variable unified family of generalized Apostol-Euler, Bernoulli and Genocchi polynomials
• Hermite polynomials related to Genocchi, Euler and Bernstein polynomials