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Integral representation of an analytic function in a ring and its applications

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Ukrainian Mathematical Journal Aims and scope

Abstract

An integral representation of an analytic function in a ring with corresponding limit values on the boundary is obtained. A new singular integral equation is suggested and solved in quadratures by using an integral representation and by complete investigation of the Cárleman problem for a ring (in the normal case).

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References

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Authors and Affiliations

  1. Odessa University, Odessa

    P. V. Kerekesha

  2. Odessa Institute of Sea Transport Engineers, Odessa

    Yu. I. Cherskii

Authors
  1. P. V. Kerekesha
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  2. Yu. I. Cherskii
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 3, pp. 322–329, March, 1995.

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Kerekesha, P.V., Cherskii, Y.I. Integral representation of an analytic function in a ring and its applications. Ukr Math J 47, 376–384 (1995). https://doi.org/10.1007/BF01056299

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  • DOI: https://doi.org/10.1007/BF01056299

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