Research article

Moroccan Journal of Pure and Applied Analysis

, 1:3

First online:

Open Access

# Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function

• H. M. SrivastavaAffiliated withDepartment of Mathematics and Statistics, University of Victoria Email author
• , S. GabouryAffiliated withDepartment of Mathematics and Computer Science, University of Québec at Chicoutimi
• , F. GhanimAffiliated withDepartment of Mathematics, College of Sciences, University of Sharjah

## Abstract

In the present paper, we give sufficient conditions for a function f to be in the subclasses $$\sum S_{a,s}^*(A,\,B,\,\alpha ,\,\beta )$$ and $$\sum {\kappa _{a,\,s}}(A,\,B,\,\alpha ,\,\beta )$$ of the class Σ of meromorphic functions which are analytic in the punctured unit disk U*. We further investigate the ratio of a function related to the Hurwitz-Lerch zeta function and its sequence of partial sums.

### Key words and phrases

Analytic functions Partial sums Meromorphic functions Integral operators Meromorphic starlike functions Meromorphic convex functions Meromorphic closeto-convex functions Hurwitz-Lerch zeta function Hadamard product