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  • Research Article
  • Open Access

On Certain Subclasses of Meromorphically -Valent Functions Associated by the Linear Operator

Journal of Inequalities and Applications20112011:401913

https://doi.org/10.1155/2011/401913

  • Received: 26 July 2010
  • Accepted: 28 February 2011
  • Published:

Abstract

The purpose of this paper is to introduce two novel subclasses and of meromorphic valent functions by using the linear operator . Then we prove the necessary and sufficient conditions for a function in order to be in the new classes. Further we study several important properties such as coefficients inequalities, inclusion properties, the growth and distortion theorems, the radii of meromorphically valent starlikeness, convexity, and subordination properties. We also prove that the results are sharp for a certain subclass of functions.

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Publisher note

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Authors’ Affiliations

(1)
Department of Mathematics, University Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia

Copyright

© A. Saif and A. Kılıçman. 2011

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.

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