Cauchy–Hadamard integral with applications
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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.
KeywordsBoundary-value problems Riemann problem Jump problem Cauchy–Hadamard integral
Mathematics Subject Classification30E25
- 8.Katz, D.B., Kats B.A.: Interactions of germs with applications. Math. Methods. Appl. Sci. https://doi.org/10.1002/mma.4362