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

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Abstract

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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Authors and Affiliations

  1. “L'vivs'ka Politekhnika” National University, Lviv

    M. T. Brodovic

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  1. M. T. Brodovic
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Brodovic, M.T. On One Criterion for the Holomorphy of an Arbitrary Mapping of a Plane Domain into a Plane. Ukrainian Mathematical Journal 55, 1395–1409 (2003). https://doi.org/10.1023/B:UKMA.0000018003.78182.b5

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  • DOI: https://doi.org/10.1023/B:UKMA.0000018003.78182.b5

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