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Turkish Journal of Mathematics

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.

DOI

10.3906/mat-2108-101

Keywords

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

First Page

145

Last Page

156

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