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Cauchy–Hadamard integral with applications

  • Boris A. Kats
  • David B. KatzEmail author
Article
  • 5 Downloads

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.

Keywords

Boundary-value problems Riemann problem Jump problem Cauchy–Hadamard integral 

Mathematics Subject Classification

30E25 

Notes

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Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Chair of Mathematical AnalysisKazan (Volga Region) Federal UniversityKazanRussia
  2. 2.Chair of General MathematicsKazan (Volga Region) Federal UniversityKazanRussia

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