An iterative real sequence based on and providing a plane parqueting and harmonic Green functions

DOI10.1080/17476933.2020.1816989zbMath1469.30087OpenAlexW3087804277MaRDI QIDQ4994463

Heinrich Begehr, Hanxing Lin, Bibinur Shupeyeva, Hua Liu

Publication date: 18 June 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1816989

zbMATH Keywords

boundary value problemsPoisson equationPoisson kernelparqueting-reflection principleharmonic Green functionplane circular rectangle

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Boundary value problems in the complex plane (30E25) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (3)

A pair of rational double sequences ⋮ 1, 2, 3, some inductive real sequences and a beautiful algebraic pattern ⋮ Integral representations in the complex plane and iterated boundary value problems

Cites Work

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• Schwarz boundary value problem for the Cauchy-Riemann equation in a rectangle
• Harmonic boundary value problems in half disc and half ring
• Green and Neumann functions for a plane degenerate circular domain
• Green function for a hyperbolic strip and a class of related plane domains
• Schwarz problem for higher‐order complex partial differential equations in the upper half plane
• Remark on Robin problem for Poisson equation
• Harmonic Green functions for the Almaty apple
• Iterated Robin problem for the higher-order Poisson equation

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