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

Moroccan Journal of Pure and Applied Analysis

Gaboury S.¹  Srivastava H. M.²  Ghanim F.³ 

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

关键词: analytic functions;    partial sums;    meromorphic functions;    integral operators;    meromorphic starlike functions;    meromorphic convex functions;    meromorphic closeto- convex functions;    hurwitz-lerch zeta function;    hadamard product;   

DOI  :  10.7603/s40956-015-0003-8

来源: DOAJ

【 摘 要 】

In the present paper, we give sufficient conditions for a function f to be in the subclasses ΣS*a,s (A. B, α, β) and ΣKa,s (A, B, α, β) 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.

【 授权许可】

Unknown