A new subclass of meromorphic function with positive and fixed second coefficients

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Published: Sep 4, 2013
DOI: https://doi.org/10.5556/j.tkjm.44.2013.1108
Keywords:
Meromorphic functions meromorphic

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Sivasubramanian Srikandan
N. Magesh
Maslina Darus

Abstract

In this paper we introduce and study a subclass $\mathcal{M}_{P}(\alpha, \lambda, c)$ of meromorphic univalent functions. We obtain coefficient estimates, extreme points, growth and distortion bounds, radii of meromorphically starlikeness and meromorphically convexity for the class $\mathcal{M}_{P}(\alpha, \lambda, c)$ by fixing the second coefficient. Further, it is shown that the class $\mathcal{M}_{P}(\alpha, \lambda, c)$ is closed under convex linear combination.

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How to Cite
Srikandan, S., Magesh, N., & Darus, M. (2013). A new subclass of meromorphic function with positive and fixed second coefficients. Tamkang Journal of Mathematics, 44(3), 261–270. https://doi.org/10.5556/j.tkjm.44.2013.1108
Issue
Vol. 44 No. 3 (2013)
Section
Papers
Author Biographies

Sivasubramanian Srikandan

Department of Mathematics, University College of Engineering, (Anna University of Technology Chennai), Melpakkam-604 001, India.

N. Magesh

P.G and Research Department ofMathematics, Government Arts College (Men), Krishnagiri - 635001, Tamilnadu, India.

Maslina Darus

School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600.

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