Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function
, and | Feb 04, 2017
About this article
Article Category: Research Article
Published Online: Feb 04, 2017
Page range: 38 - 50
Received: Apr 15, 2015
Accepted: Jun 25, 2015
DOI: https://doi.org/10.7603/s40956-015-0003-8
Keywords
© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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.