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

Heinrich Begehr, Hanxing Lin, Hua Liu, Bibinur Shupeyeva

Research output: Contribution to journal › Article › peer-review

Abstract

The real monotone decreasing sequence (Formula presented.) converging to 1 is used to construct a parqueting of the complex plane leading to the harmonic Green function and the Poisson kernel for the countably many domains of the parqueting clustering at the point 1.

Original languageEnglish
Pages (from-to)988-1013
Number of pages26
JournalComplex Variables and Elliptic Equations
Volume66
Issue number6-7
DOIs
Publication statusAccepted/In press - 2020

Keywords

  • 30E25
  • 30G20
  • 31A10
  • 31A25
  • 35C15
  • boundary value problems
  • G. Demidenko
  • harmonic Green function
  • Parqueting-reflection principle
  • plane circular rectangle
  • Poisson equation
  • Poisson kernel

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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