Coefficient Bounds for Certain Classes of Meromorphic Functions

H. Silverman; K. Suchithra; B. Adolf Stephen; A. Gangadharan

doi:10.1155/2008/931981

Research Article
Open Access

Coefficient Bounds for Certain Classes of Meromorphic Functions

H. Silverman¹Email author,
K. Suchithra²,
B. Adolf Stephen³ and
A. Gangadharan²

Journal of Inequalities and Applications20082008:931981

https://doi.org/10.1155/2008/931981

Received: 19 May 2008
Accepted: 4 December 2008
Published: 21 December 2008

Abstract

Sharp bounds for are derived for certain classes and of meromorphic functions defined on the punctured open unit disk for which and , respectively, lie in a region starlike with respect to 1 and symmetric with respect to the real axis. Also, certain applications of the main results for a class of functions defined through Ruscheweyh derivatives are obtained.

Keywords

Meromorphic Function
Full Article
Publisher Note
Coefficient Bound

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

(1)

Department of Mathematics, College of Charleston, Charleston, SC 29424, USA

(2)

Department of Applied Mathematics, Sri Venkateswara College of Engineering, Sriperumbudur, Chennai, 602105, Tamilnadu, India

(3)

School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia

Copyright

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.