The dynamics of semigroups of transcendental entire functions I

被引：0
|
作者：
Dinesh Kumar
Sanjay Kumar
机构：
[1] University of Delhi,Department of Mathematics
[2] University of Delhi,Department of Mathematics, Deen Dayal Upadhyaya College
来源：
Indian Journal of Pure and Applied Mathematics | 2015年 / 46卷
关键词：
Semigroup; normal family; Fatou set; periodic component;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the dynamics associated with an arbitrary semigroup of transcendental entire functions. Fatou-Julia theory is used to investigate the dynamics of these semigroups. Several results of the dynamics associated with iteration of a transcendental entire function have been extended to transcendental semigroup case. We also investigate the dynamics of conjugate semigroups, abelian transcendental semigroups and wandering and Baker domains of transcendental semigroups.
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页码：11 / 24
页数：13
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