Initial Coefficients of Bi-univalent Functions

2012/07/27 by Lee, See Keong, Ravichandran, V., Supramaniam, Shamani
#30C45 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1207.6458

Abstract

An analytic function f defined on the open unit disk \mathbbD=\z:|z|<1\ is bi-univalent if the function f and its inverse f^-1 are univalent in \mathbbD. Estimates for the initial coefficients of bi-univalent functions f are investigated when f and f^-1 respectively belong to some subclasses of univalent functions. Some earlier results are shown to be special cases of our results.

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