Univalent Baker domains

被引：22

作者：

Baranski, K

Fagella, N

机构：

[1] Univ Warsaw, Inst Math, PL-02097 Warsaw, Poland

[2] Univ Barcelona, Dept Mat Aplicada & Anal, E-08007 Barcelona, Spain

来源：

NONLINEARITY | 2001年 / 14卷 / 03期

关键词：

D O I：

10.1088/0951-7715/14/3/301

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We classify Baker domains U for entire maps with f/(U) univalent into three different types, giving several criteria which characterize them. Some new examples of such domains are presented, including a domain with disconnected boundary in C and a domain which spirals towards infinity.

引用

页码：411 / 429

页数：19

共 30 条

[1]

[Anonymous], 1995, Analysis, DOI DOI 10.1524/ANLY.1995.15.3.251

[2]

[Anonymous], 1998, Complex Variables Theory Appl

[3]

ARNOLD VI, 1961, T AM MATH SOC, V46

[4]

Baker I. N., 1991, REV ROUMAINE MATH PU, V36, P413

[5]

Baker I. N., 1975, ANN ACAD SCI FENN A, V1, P277

[6] INFINITE LIMITS IN THE ITERATION OF ENTIRE-FUNCTIONS [J].

BAKER, IN .

ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1988, 8 :503-507

[7]

BAKER IN, 1984, ANN ACAD SCI FENN-M, V9, P49

[8]

Baker IN, 1999, ANN ACAD SCI FENN-M, V24, P437

[9] WANDERING DOMAINS FOR MAPS OF THE PUNCTURED PLANE [J].

BAKER, IN .

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 1987, 12 (02) :191-198

[10] INVARIANT DOMAINS AND SINGULARITIES [J].

BERGWEILER, W .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1995, 117 :525-532

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