Boundedness of components of Fatou sets of entire and meromorphic functions

被引：0

作者：

Zheng, JH ^{[1
]}

Wang, S ^{[1
]}

机构：

[1] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2004年 / 35卷 / 10期

关键词：

Fatou set; Julia set; iteration; hyperbolic domain;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Non-existence of unbounded components of Fatou sets of composition of finitely many functions entire and meromorphic in the complex plane studied under some stuitable conditions following(15).

引用

页码：1137 / 1148

页数：12

共 18 条

[1] Ahlfors L. V., 1973, McGraw-Hill Series in Higher Mathematics
[2] Baker I. N., 1963, MATH Z, V81, P206
[3] THE ITERATION OF POLYNOMIALS AND TRANSCENDENTAL ENTIRE-FUNCTIONS
BAKER, IN
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1981, 30 (APR): : 483 - 495
[4] ON THEOREM OF KJELLBERG
BARRY, PD
[J]. QUARTERLY JOURNAL OF MATHEMATICS, 1964, 15 (58) : 179 - &
[5] BEARDON AF, 1978, J LOND MATH SOC, V18, P475
[6] ITERATION OF MEROMORPHIC FUNCTIONS
BERGWEILER, W
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 29 (02) : 151 - 188
[7] HAYMAN WK, 1964, MEROMORPHIC FUNCTION
[8] Fatou components of entire functions of small growth
Hua, XH
Yang, CC
[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1999, 19 : 1281 - 1293
[9] OSTROVSKII IV, 1963, DOKL AKAD NAUK SSSR+, V150, P32
[10] THE ITERATION OF ENTIRE-FUNCTIONS OF SMALL GROWTH
STALLARD, GM
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1993, 114 : 43 - 55

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