Faber polynomials coefficients estimates for a certain subclass of Bazilevic functions

Year 2021, Volume: 50 Issue: 6, 1667 - 1678, 14.12.2021

Abdel Moneim Lashin , Abeer Badghaish Amani Bajamal

https://doi.org/10.15672/hujms.896977

Abstract

For a certain subclass of Bazilevic functions, Faber polynomials expansions are used to obtain bi-univalent properties. Estimates on the $n$th Taylor-Maclaurin coefficients of functions in this class are found. Moreover, some special cases are also indicated.

Keywords

Faber polynomial,, Bazilevic functions, coefficient estimations, starlike and convex functions, univalent functions, bi-univalent functions

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