A linear matching problem for a generalized Cauchy-Riemann equation with super-singular points on a half-plane

DOI10.1134/S0965542522110069zbMath1505.30032OpenAlexW4310689650MaRDI QIDQ2101417

I. N. Dorofeeva, A. B. Rasulov

Publication date: 6 December 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542522110069

zbMATH Keywords

Cauchy-Riemann equation in the planePompeiu integral

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) (overlinepartial) and (overlinepartial)-Neumann operators (32W05)

Cites Work

• Boundary value problem for a generalized Cauchy-Riemann equation with singular coefficients
• On continuous solutions of a generalized Cauchy-Riemann system with more than one singularity.
• Relationship between manifolds of solutions to generic and model generalized Cauchy-Riemann systems with a singular point
• Dirichlet problem for a generalized Cauchy-Riemann equation with a supersingular point on a half-plane
• Representation of solutions of a singular Cauchy–Riemann equation in the plane
• Generalized cauchy—riemann systems with a singular point
• On the Pompeiu Integral and Its Generalizations
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