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Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2018 / Cilt: 67 - Sayı: 1

ON SOME SUBCLASSES OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS

Sibel YALÇIN, Şahsene ALTINKAYA

Pages
29–36
DOI
—

Abstract

In this work, we introduce two new subclasses $Sm(; )$ and$Sm(; ) of m $ consisting of analytic and m-fold symmetric bi-univalentfunctions in the open unit disc U. Furthermore, for functions in each of thesubclasses introduced in this paper, we obtain the coe¢ cient bounds for $jam+1j$ and $ja2m+1j$ :