The Riemann problem on a ray for generalized analytic functions with a singular line

DOI10.18500/1816-9791-2023-23-1-58-69zbMath1515.30097MaRDI QIDQ6488021

R. R. Faizov, P. L. Shabalin

Publication date: 22 March 2023

Published in: Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika (Search for Journal in Brave)

zbMATH Keywords

Riemann probleminfinite indexgeneralized analytical functions

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Cites Work

• Boundary value problem for a generalized Cauchy-Riemann equation with singular coefficients
• Riemann's boundary problem with infinite index. Introduction, appendix and editing by I. V. Ostrovskij. Transl. from the Russian by Yu. I. Lyubarskij
• On continuous solutions of a generalized Cauchy-Riemann system with more than one singularity.
• Hilbert type problem for a Cauchy-Riemann equation with singularities on a circle and at a point in the lower-order coefficients
• The Riemann problem on a semicircle for a generalized Cauchy-Riemann system with a singular line
• Representation of solutions of a singular Cauchy–Riemann equation in the plane
• The Solution of the Homogeneous Boundary Value Problem of Riemann with Infinite Index of Logarithmic Order on the Beam by a New Method
• Integral representations and the linear conjugation problem for a generalized Cauchy-Riemann system with a singular manifold
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