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

Beih El-Sayed El-Desouky, Rabab Sabry Gomaa

Department of Mathematics, Mansoura University, Mansoura, Egypt.

DOI: 10.4236/am.2015.69134                

Abstract

The purpose of this paper is to introduce and investigate new unification of unified family of Apostol-type polynomials and numbers based on results given in [1] [2]. 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.

Keywords

Euler, Bernoulli and Genocchi Polynomials, Stirling Numbers, Laguerre Polynomials, Hermite Polynomials

Conflicts of Interest

The authors declare no conflicts of interest.

References

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