Initial Coefficients of Bi-univalent Functions

See Keong Lee; V. Ravichandran; Shamani Supramaniam

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arXiv · 1207.6458

Initial Coefficients of Bi-univalent Functions

See Keong Lee·V. Ravichandran·Shamani Supramaniam

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Abstract

An analytic function $f$ defined on the open unit disk $\mathbb{D}=\{z:|z|<1\}$ is bi-univalent if the function $f$ and its inverse $f^{-1}$ are univalent in $\mathbb{D}$. 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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See Keong Lee, V. Ravichandran, Shamani Supramaniam. 2012-07-27. Initial Coefficients of Bi-univalent Functions. https://arxiv.org/abs/1207.6458

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