COEFFICIENT BOUNDS AND FEKETE-SZEGO FUNCTIONAL PROBLEM FOR A NEW SUBCLASS OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS

COEFFICIENT BOUNDS AND FEKETE-SZEGO FUNCTIONAL PROBLEM FOR A NEW SUBCLASS OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS

A. Gorganli Davaji, A. Motamednezhad, S. Salehian

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Abstract

This paper introduces a novel subclass of m-fold symmetric bi-univalent functions denoted as Sh.p Σm . Precise coefficient estimates for terms |am+1|, |a2m+1| and the Fekete-Szeg¨o functional are derived for functions belonging to this subclass. The results presented in this paper would generalize and improve some recent works of several earlier authors.

Keywords

Coefficient estimates, m-fold symmetric bi-univalent functions, Fekete-Szeg¨o functional problems.