Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation

Year 2022, Volume: 51 Issue: 5, 1271 - 1279, 01.10.2022

Pranay Goswami , Serap Bulut , Neetu Sekhawat

https://doi.org/10.15672/hujms.822815

Cited By: 1

Abstract

In this paper, we introduce a new subclass of analytic bi-univalent functions defined by using $q$-derivative operator. Further, we obtain both some initial and general coefficient bounds, and also Fekete-Szegö inequalities for bi-univalent functions that belong to this class. Our results extend and improve some known results as special cases.

Keywords

univalent functions, bi-univalent functions, bounded boundary rotations, coefficient estimates, fekete-Szegö problem, q-calculus

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