А. С. Кацунова, А. М. Кытманов
Abstract
We obtain an analog of the Poincaré-Bertrand formula for a singular Cauchy-Szegö integral in a multidimensional ball. We understand the principal value of the integral in the Cauchy sense. The obtained formula differs from that of Poincaré-Bertrand for the Cauchy integral in a complex plane.
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We obtain an analog of the Poincaré-Bertrand formula for a singular Cauchy-Szegö integral in a multidimensional ball. We understand the principal value of the integral in the Cauchy sense. The obtained formula differs from that of Poincaré-Bertrand for the Cauchy integral in a complex plane.
Key concepts: Mathematics, Cauchy's integral theorem, Cauchy principal value, Cauchy's integral formula, Singular integral, Cauchy distribution, Residue theorem, Ball (mathematics)