On certain subclasses of analytic functions associated with hypergeometric functions

https://doi.org/10.1016/j.aml.2010.10.048Get rights and content
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Abstract

In this paper, we find the necessary and sufficient conditions for functions zF(a,b;c;z) in the generalized class of β uniformly starlike and β uniformly convex functions of order α and also consequences of the results are pointed out.

Keywords

Univalent
Starlike
Convex
Uniformly starlike functions
Uniformly convex functions
Guassian hypergeometric functions

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