Research article

Moroccan Journal of Pure and Applied Analysis

, 1:3

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

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