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Solution of the Reich-Walczak problem regarding conformality in the Belinskii-Lavrent'ev sense

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Abstract

A positive answer is given to the Reich-Walczak problem relative to conformality in the Belinskii-Lavrent'ev sense of quasiconformal mappings at a point in the case of an arbitrary modulus of the complex characteristic and under an appropriate selection of its argument.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Academy of Sciences of Ukraine, Donetsk

    V. I. Ryazanov

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  1. V. I. Ryazanov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 10, pp. 1406–1411, October, 1992.

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Ryazanov, V.I. Solution of the Reich-Walczak problem regarding conformality in the Belinskii-Lavrent'ev sense. Ukr Math J 44, 1292–1298 (1992). https://doi.org/10.1007/BF01057688

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  • DOI: https://doi.org/10.1007/BF01057688

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