Inhomogeneous Hilbert boundary value problem with several points of logarithmic turbulence

DOI10.3103/S1066369X21010059zbMath1468.30068OpenAlexW3133001189MaRDI QIDQ2027919

A. Kh. Fatykhov, P. L. Shabalin

Publication date: 28 May 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x21010059

zbMATH Keywords

Hilbert boundary value problemgeneralized analytic functionentire functions of zero proximate order

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Special classes of entire functions of one complex variable and growth estimates (30D15) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Cites Work

• On solvability of homogeneous Riemann-Hilbert problem with discontinuities of coefficients and two-sided curling at infinity of a logarithmic order
• Boundary value problem for a generalized Cauchy-Riemann equation with singular coefficients
• The Hilbert boundary-value problem with infinite index of logarithmic order in a half-plane
• On the solution of the Hilbert problem with an infinite index.
• The Riemann problem on a semicircle for a generalized Cauchy-Riemann system with a singular line
• Homogeneous Hilbert boundary-value problem with several points of turbulence
• Asymptotic estimates of integral functions defined by canonical products
• Solvability homogeneous Riemann-Hilbert boundary value problem with several points of turbulence
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