Coefficient bounds for a certain subclass of analytic and bi-univalent functions

Year 2019, Volume: 68 Issue: 2, 1492 - 1505, 01.08.2019

Nizami Mustafa , Veysel Nezir

https://doi.org/10.31801/cfsuasmas.540642

Cited By: 2

Abstract

In this paper, we introduce and investigate a new subclass of the a-nalytic and bi-univalent functions in the open unit disk in the complex plane. For the functions belonging to this class, we obtain estimates on the first three coefficients in their Taylor-Maclaurin series expansion. Some interesting corollaries and applications of the results obtained here are also discussed.

Keywords

Univalent functions, analytic functions, bi-univalent functions

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