Author(s)

Beih El-Sayed El-Desouky, Rabab Sabry Gomaa

Department of Mathematics, Mansoura University, Mansoura, Egypt.

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.

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

El-Desouky, B. and Gomaa, R. (2015) New Extension of Unified Family Apostol-Type of Polynomials and Numbers. Applied Mathematics, 6, 1495-1505. doi: 10.4236/am.2015.69134.