Coefficient estimates for a new subclass of m-fold symmetric analytic bi-univalent functions

Abstract

Considering a new subclass of m-fold symmetric analytic bi-univalent functions, we determine estimates the coefficient bounds for the Taylor-Maclaurin coefficients |a_{m+1}| and |a_{2m+1}| of the functions in this class. In certain cases, our estimates improve some of those existing coeffcient bounds.

Keywords

• Analytic functions,univalent functions,bi-univalent functions; m-fold symmetric bi-univalent functions,Taylor-Maclaurin series expansion,coefficient bounds,coefficient estimates

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