Boundary-value problems for the Helmholtz equation in domains of the complex plane

DOI10.1007/S11253-016-1230-5zbMath1490.35114OpenAlexW2546737950MaRDI QIDQ1729440

M. A. Sukhorol's'kyi

Publication date: 27 February 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-016-1230-5

zbMATH Keywords

boundary values of analytic functionssolutions of Helmholtz equation in the plane with holes

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Conformal mappings of special domains (30C20) Boundary value problems in the complex plane (30E25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20) Completeness problems, closure of a system of functions of one complex variable (30B60)

Related Items (1)

Bessel functions of two complex mutually conjugate variables and their application in boundary-value problems of mathematical physics

Cites Work

• Expansion of functions in a system of polynomials biorthogonal on a closed contour with a system of functions regular at infinitely remote point
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