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Cauchy–Hadamard integral with applications

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Abstract

The Cauchy type integral over curve \(\Gamma \) is traditional tool for solving of boundary-value problems of complex analysis. But it can diverge if length of the curve is infinite. We use Hadamard’s concept of finite part of integral for investigation of that situation.

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Authors and Affiliations

  1. Chair of Mathematical Analysis, Kazan (Volga Region) Federal University, Kremlevskaya Str. 18, Kazan, Russia, 420138

    Boris A. Kats

  2. Chair of General Mathematics, Kazan (Volga Region) Federal University, Kremlevskaya Str. 18, Kazan, Russia, 420138

    David B. Katz

Authors
  1. Boris A. Kats
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  2. David B. Katz
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Correspondence to David B. Katz.

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Communicated by A. Constantin.

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The research is partially supported by the Russian Foundation for Basic Research (Grant 18-31-00060) and is performed according to the Russian Government Program of Competitive Growth of Kazan Federal University.

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Kats, B.A., Katz, D.B. Cauchy–Hadamard integral with applications. Monatsh Math 189, 683–689 (2019). https://doi.org/10.1007/s00605-019-01263-z

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  • DOI: https://doi.org/10.1007/s00605-019-01263-z

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