New Extension of Unified Family of Apostol-Type of Polynomials and Numbers

2014/12/29 by B. S. El-Desouky, El-Desouky, B. S., Rabab S. Gomaa +2
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials #math.CO

paper · pdf · doi:10.48550/arxiv.1412.8258

arxiv created 2014/12/29 · openalex publication_date 2014/12/29 · arxiv updated 2014/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this paper is to introduce and investigate a new unification of unified family of Apostol-type polynomials and numbers based on results given in [24] and [25]. Also, we derive some properties for these polynomials and obtain some relationships between the Jacobi polynomials, Laguerre polynomials, Hermite polynomials, Stirling numbers and some other types of generalized polynomials.

Related

• Implementation of computation formulas for certain classes of Apostol-type polynomials and some properties associated with these polynomials
• The 2-variable unified family of generalized Apostol-Euler, Bernoulli and Genocchi polynomials
• Higher Order Apostol-Type Poly-Genocchi Polynomials with Parameters a, b and c
• A generalization of Apostol type of Hermite-Genocchi polynomials
• Unified Bernoulli-Euler polynomials of Apostol type