Solutions of Boundary-Value Problems for the Helmholtz Equation in Simply Connected Domains of the Complex Plane

DOI10.1007/S10958-017-3604-0zbMath1363.35087OpenAlexW2767440094MaRDI QIDQ2831359

M. A. Sukhorol's'kyi

Publication date: 2 November 2016

Published in: Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3604-0

zbMATH Keywords

Helmholtz equationsolution for circlesolution for plane with cut

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Systems of Functions Orthogonal Over the Domain 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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