A representation of the solutions of the generalized Cauchy-Riemann equations and its applications

DOI10.1016/0021-8928(89)90104-4zbMath0727.76108OpenAlexW1991028120MaRDI QIDQ804431

S. V. Pan'ko

Publication date: 1989

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(89)90104-4

zbMATH Keywords

analytic functionFredholm equation of the second kindintegral representationsgeneralized Cauchy-Riemann systemgeneralized axisymmetric potentialinhomogeneous layer of finite widthWhittaker-Polozhij representation

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Flows in porous media; filtration; seepage (76S05)

Cites Work

• On the solution of problems of filtration with a limit gradient
• Exact solutions of boundary-value problems for nonlinear flow in porous media
• On the analysis of retained residual viscoplastic petroleum
• Problems of filtration with a limiting gradient
• Some exact solutions of plane filtration problems with limiting gradient
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