One inequality for conformal mappings of spherical domains

被引：0

作者：

Bourchtein, Ludmila ^{[1
]}

Bourchtein, Andrei ^{[1
]}

机构：

[1] Pelotas State Univ, Dept Math, BR-96020250 Pelotas, Brazil

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2006年 / 9卷 / 02期

关键词：

function inequalities; conformal mappings; grid generation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide an evaluation of variations of the mapping factor for conic mappings from a sphere to a plane. The proved inequality allows to compare the variation coefficients of conic, cylindrical and stereographic projections. Obtained inequality chain for variation coefficients can be used to generate more computationally efficient numerical grids.

引用

页码：233 / 246

页数：14

共 50 条

[21] LOCALLY UNIFORM DOMAINS AND QUASI-CONFORMAL MAPPINGS
HERRON, DA
KOSKELA, P
ANNALES ACADEMIAE SCIENTIARUM FENNICAE SERIES A1-MATHEMATICA, 1995, 20 (01): : 187 - 206
[22] Conformal Mappings to Multiply Connected Polycircular Arc Domains
Darren G. Crowdy
Athanassios S. Fokas
Christopher C. Green
Computational Methods and Function Theory, 2012, 11 (2) : 685 - 706
[23] MODIFIED METHOD OF SUCCESSIVE CONFORMAL MAPPINGS OF POLYGONAL DOMAINS
Radygin, V. M.
Polyanskii, I. S.
VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2016, (01): : 25 - 35
[24] CONFORMAL-MAPPINGS OF DOMAINS SATISFYING A WEDGE CONDITION
LESLEY, FD
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 93 (03) : 483 - 488
[25] Conformal Mappings between Canonical Multiply Connected Domains
Darren Crowdy
Jonathan Marshall
Computational Methods and Function Theory, 2006, 6 (1) : 59 - 76
[26] Conformal Mappings to Multiply Connected Polycircular Arc Domains
Crowdy, Darren G.
Fokas, Athanassios S.
Green, Christopher C.
COMPUTATIONAL METHODS AND FUNCTION THEORY, 2011, 11 (02) : 685 - 706
[27] Numerical Conformal Mappings onto the Canonical Slit Domains
Amano, Kaname
Okano, Dai
THEORETICAL AND APPLIED MECHANICS JAPAN, 2012, 60 : 317 - 332
[28] On modules of continuity of conformal mappings of arbitrary Jordan domains
Dolzhenko E.P.
Journal of Mathematical Sciences, 2002, 108 (3) : 411 - 419
[29] CONFORMAL MAPPINGS ONTO OMEGA-SWIRLY DOMAINS
FITZGERA.CH
PACIFIC JOURNAL OF MATHEMATICS, 1971, 37 (03) : 657 - &
[30] DOMAINS OF VALUES OF ANALYTIC FUNCTIONALS ON CLASSES OF CONFORMAL AND QUASICONFORMAL MAPPINGS
KRUSHKAL, SL
SIBERIAN MATHEMATICAL JOURNAL, 1982, 23 (04) : 520 - 526

← 1 2 3 4 5 →