<abstract xmlns="http://www.w3.org/1999/xhtml"> 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.</abstract>

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.

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

Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4,

Department of Mathematics and Computer Science, University of Québec at Chicoutimi, Chicoutimi, Québec G7H 2B1,

Department of Mathematics, College of Sciences, University of Sharjah, Sharjah,

Moroccan Journal of Pure and Applied Analysis

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...

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

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

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

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

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

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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