BOUNDS FOR INITIAL MACLAURIN COEFFICIENTS FOR A NEW SUBCLASSES OF ANALYTIC AND M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS

Year 2020, Volume: 10 Issue: 2, 305 - 311, 01.03.2020

A. K. Wanas

Abstract

In the present paper, we introduce and study two new subclasses of the function class Σm consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disk U. We establish upper bounds for the initial coefficients |am+1| and |a2m+1| for functions in these subclasses. Certain special cases are also indicated.

Keywords

Analytic functions, univalent functions, bi-univalent functions, m-fold symmetric bi-univalent functions, coefficient bounds

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