Some New Classes of Generalized Apostol-Euler and Apostol-Genocchi Polynomials

الملخص EN

The main object of this paper is to introduce and investigate two new classes of generalized Apostol-Euler and Apostol-Genocchi polynomials.

In particular, we obtain a new addition formula for the new class of the generalized Apostol-Euler polynomials.

We also give an extension and some analogues of the Srivastava-Pintér addition theorem obtained in the works by Srivastava and Pintér (2004) and R.

Tremblay, S.

Gaboury, B.-J.

Fugère, and Tremblay et al.

(2011).

for both classes.