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 HurwitzLerch 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 HurwitzLerch 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 closetoconvex functions HurwitzLerch zeta function Hadamard product Title
 Partial Sums of Certain Classes of Meromorphic Functions Related to the HurwitzLerch Zeta Function
 Open Access
 Available under Open Access This content is freely available online to anyone, anywhere at any time.
 Journal

Moroccan Journal of Pure and Applied Analysis
1:3
 Online Date
 July 2015
 DOI
 10.7603/s4095601500038
 Online ISSN
 23518227
 Publisher
 University Sidi Mohamed Ben Abdallah
 Additional Links
 Topics
 Keywords

 Analytic functions
 Partial sums
 Meromorphic functions
 Integral operators
 Meromorphic starlike functions
 Meromorphic convex functions
 Meromorphic closetoconvex functions
 HurwitzLerch zeta function
 Hadamard product
 Authors

 H. M. Srivastava ^{(1)}
 S. Gaboury ^{(2)}
 F. Ghanim ^{(3)}
 Author Affiliations

 1. Department of Mathematics and Statistics, University of Victoria, British Columbia V8W 3R4, Victoria, Canada
 2. Department of Mathematics and Computer Science, University of Québec at Chicoutimi, Québec G7H 2B1, Chicoutimi, Canada
 3. Department of Mathematics, College of Sciences, University of Sharjah, Sharjah, United Arab Emirates