UNIFORMLY STARLIKE AND UNIFORMLY CONVEXITY PROPERTIES PERTAINING TO CERTAIN SPECIAL FUNCTIONS
Keywords:
Univalent functions, Parabolic Starlikefunctions, Uniformly Convex functions, Integral operator, Generalized Fox-Wright function
Abstract
The aim of this paper is to establish sufficient conditions for the function z {pψq (z)} to be in the classes of uniformly starlike and uniformly convex functions associated with the parabolic region Re {ω} > | − 1 ω | . Further, convolution of the functions which are analytic in the open unit disk with negative coefficients have been investigated. Finally, similar results using an integral operator have also been obtained.
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Published
2011-05-15
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Copyright (c) 2011 Authors and Global Journals Private Limited
This work is licensed under a Creative Commons Attribution 4.0 International License.