Far Eastern Mathematical Journal

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Distortion theorem for bounded univalent functions


Pavlov N.A.

2015, issue 2, P. 238-246


Abstract
Distortion theorem for bounded univalent functions in the unit disk is proven. Estimate includes angular derivatives in two boundary points and Schwarzian derivative in interior point of the unit disk.

Keywords:
univalent functions, angular derivative, Schwarzian derivative, capacity of condenser

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References

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