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

Heinrich Begehr; Hanxing Lin; Hua Liu; Bibinur Shupeyeva

doi:10.1080/17476933.2020.1816989

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

3 Citations (Scopus)

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 language	English
Pages (from-to)	988-1013
Number of pages	26
Journal	Complex Variables and Elliptic Equations
Volume	66
Issue number	6-7
DOIs	https://doi.org/10.1080/17476933.2020.1816989
Publication status	Accepted/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

Access to Document

10.1080/17476933.2020.1816989

Cite this

@article{7fc7971ca8314eb89a1bfa559138aacb,

title = "An iterative real sequence based on and providing a plane parqueting and harmonic Green functions",

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.",

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

author = "Heinrich Begehr and Hanxing Lin and Hua Liu and Bibinur Shupeyeva",

year = "2020",

doi = "10.1080/17476933.2020.1816989",

language = "English",

volume = "66",

pages = "988--1013",

journal = "Complex Variables and Elliptic Equations",

issn = "1747-6933",

publisher = "Taylor and Francis",

number = "6-7",

}

TY - JOUR

T1 - An iterative real sequence based on and providing a plane parqueting and harmonic Green functions

AU - Begehr, Heinrich

AU - Lin, Hanxing

AU - Liu, Hua

AU - Shupeyeva, Bibinur

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - 30E25

KW - 30G20

KW - 31A10

KW - 31A25

KW - 35C15

KW - boundary value problems

KW - G. Demidenko

KW - harmonic Green function

KW - Parqueting-reflection principle

KW - plane circular rectangle

KW - Poisson equation

KW - Poisson kernel

UR - http://www.scopus.com/inward/record.url?scp=85091253844&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85091253844&partnerID=8YFLogxK

U2 - 10.1080/17476933.2020.1816989

DO - 10.1080/17476933.2020.1816989

M3 - Article

AN - SCOPUS:85091253844

VL - 66

SP - 988

EP - 1013

JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

SN - 1747-6933

IS - 6-7

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this