ON SUBCLASSES OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS

ON SUBCLASSES OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS

B. Şeker, İ. Taymur

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Abstract

In this study, we introduce and investigate two new subclasses of the biunivalent functions which both f(z) and f????1(z) are m-fold symmetric analytic functions. Among other results, upper bounds for the coecients jam+1j and ja2m+1j are found in this investigation.

Keywords

Univalent functions,Bi-univalent functions, m-fold symmetric functions, m- fold symmetric bi-univalent functions.