On the Hilbert formulas and of change of integration order for some singular integrals in the unit circle
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Publication:4634202
DOI10.3906/mat-1704-77zbMath1424.31001OpenAlexW2802704922MaRDI QIDQ4634202
Baruch Schneider, Ricardo Abreu-Blaya, Juan Bory-Reyes, Marco Antonio Pérez-de la Rosa
Publication date: 7 May 2019
Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3906/mat-1704-77
Eigenvalue problems for linear operators (47A75) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Integral equations with kernels of Cauchy type (45E05)
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Integral formulas of the Hilbert, Poincaré-Bertrand, Schwarz and Poisson type for the \(\beta\)-analytic function theory ⋮ On the Hilbert formulas on the unit circle for α-hyperholomorphic function theory ⋮ Hilbert and Poincaré-Bertrand formulas in polyanalytic function theory involving higher order Lipschitz classes
Cites Work
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- Some notes on the Poincaré-Bertrand formula
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- On a Cauchy-type integral related to the Helmholtz operator in the plane
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