Certain subclasses of uniformly convex functions and corresponding class of starlike functions

N. Magesh; V. Prameela

doi:10.26637/mjm101/003

Abstract

In this paper, we defined a new subclass of uniformly convex functions and corresponding subclass of starlike functions with negative coefficients and obtain coefficient estimates. Further we investigate extreme points, growth and distortion bounds, radii of starlikeness and convexity and modified Hadamard products.

Keywords:

Univalent functions, convex functions, starlike functions, uniformly convex functions, uniformly starlike functions

Mathematics Subject Classification:

30C45

Authors Imprint References Funding Related Articles Downloads

N. Magesh P.G. and Research Department of Mathematics, Govt Arts College for Men , Krishnagiri - 635001, India. https://orcid.org/0000-0002-0764-8390
V. Prameela Department of Mathematics, Adhiyamaan College of Engineering (Autonomous), Hosur - 635109, Tamilnadu, India.

Pages: 18-26
Date Published: 01-01-2013
Vol. 1 No. 01 (2013): Malaya Journal of Matematik (MJM)

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