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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Ukrainian Mathematic...arrow_drop_down
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Ukrainian Mathematical Journal
Article . 2003 . Peer-reviewed
License: Springer Nature TDM
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Article . 2003
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https://dx.doi.org/10.1023/b:u...
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On One Criterion for the Holomorphy of an Arbitrary Mapping of a Plane Domain into a Plane

On one criterion for the holomorphy of an arbitrary mapping of a plane domain into a plane
descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2003 English Publisher:Springer Science and Business Media LLCJournal:Ukrainian Mathematical Journal, volume 55, pages 1,395-1,409 (issn: 0041-5995, eissn: 1573-9376, Copyright policy )
Authors: Brodovic, M. T.;

doi: 10.1023/b:ukma.0000018003.78182.b5

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

Abstract

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

Related Organizations
Keywords

Monogenic and polygenic functions of one complex variable, mapping, criterion of holomorphy

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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