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Semigroup of conformal mappings of the upper half-plane into itself with hydrodynamic normalization at infinity

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Ukrainian Mathematical Journal Aims and scope

Abstract

The objects of this study are holomorphic functions, univalent in the upper half-plane, which are complex potentials of infinitely deep flows over a flat bottom with unperturbed flow at infinity. The semigroup of all such functions is determined and its infinitesimal description given.

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Authors and Affiliations

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

    V. V. Goryainov & I. Ba

  2. Donetsk University, USSR

    V. V. Goryainov & I. Ba

Authors
  1. V. V. Goryainov
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  2. I. Ba
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 10, pp. 1320–1329, October, 1992.

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Goryainov, V.V., Ba, I. Semigroup of conformal mappings of the upper half-plane into itself with hydrodynamic normalization at infinity. Ukr Math J 44, 1209–1217 (1992). https://doi.org/10.1007/BF01057676

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  • DOI: https://doi.org/10.1007/BF01057676

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