A new subclass of certain analytic univalent functions associated with hypergeometric functions

Authors: ALAATTİN AKYAR

Abstract: The main objective of the present paper is to give with using the linear operator theory and also hypergeometric representations of related functions a new special subclass $\mathcal{TS}_{p}(2^{-r},2^{-1}), r\in \mathbb{ Z }^{+}$ of uniformly convex functions and in addition a suitable subclass of starlike functions with negative Taylor coefficients. Furthermore, the provided trailblazer outcomes in presented study are generalized to certain functions classes with fixed finitely many Taylor coefficients.

Keywords: Convex function, hypergeometric function, starlike function, uniformly convex functions, univalent function

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