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

Journal of Inequalities and Applications volume 2011, Article number: 401913 (2011) Cite this article

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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Authors and Affiliations

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

    Amin Saif & Adem Kılıçman

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  1. Amin Saif
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  2. Adem Kılıçman
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Correspondence to Adem Kılıçman.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Saif, A., Kılıçman, A. On Certain Subclasses of Meromorphically -Valent Functions Associated by the Linear Operator . J Inequal Appl 2011, 401913 (2011). https://doi.org/10.1155/2011/401913

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

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