On One Criterion for the Holomorphy of an Arbitrary Mapping of a Plane Domain into a Plane

We prove the holomorphy of a function that, at every point, preserves either angles or dilations with respect to a certain set.

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Bibliographic Details
Date:2003
Main Authors: Brodovich, M. T., Бродович, М. Т.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2003
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3989
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal