Bounded type Siegel disks of a family of sine families

doi:10.1016/j.jmaa.2020.124041

CSpace

	Bounded type Siegel disks of a family of sine families
	Zhang, Song 1; Fu, Jianxun 2; Shi, Xujie 3
	2020-08-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	488 期号:1 页码:12
摘要	We prove that for any positive integer n, there is a polynomial P(z) with degree n such that the entire function G(z) = P(sin(z)) has a bounded type Siegel disk bounded by a quasi-circle in the plane which passes through at least one critical point of G. In addition, let 0 < theta < 1 be an irrational number of bounded type. We prove that for any integer k >= 0, the boundary of the Siegel disk of G(z) = integral(sin(z))(0) e(2 pi i theta) (1-s(2))(k) ds centered at the origin is a quasi-circle passing through exactly two critical points pi/2 and pi/2 with multiplicity k + 1, respectively. (C) 2020 Elsevier Inc. All rights reserved.
关键词	Siegel disk Quasi-circle Critical point
DOI	10.1016/j.jmaa.2020.124041
收录类别	SCI
语种	英语
资助项目	Fundamental Research Funds for the Central Universities[2019kfyXJJS135] ; National Natural Science Foundation of China[11901219]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000525911000002
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51077
专题	中国科学院数学与系统科学研究院
通讯作者	Fu, Jianxun
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Huazhong Univ Sci & Technol, Ctr Math Sci, Wuhan 430074, Peoples R China 3.Nanjing Univ Posts & Telecommun, Sch Sci, Nanjing 210023, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Song,Fu, Jianxun,Shi, Xujie. Bounded type Siegel disks of a family of sine families[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2020,488(1):12.
APA	Zhang, Song,Fu, Jianxun,&Shi, Xujie.(2020).Bounded type Siegel disks of a family of sine families.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,488(1),12.
MLA	Zhang, Song,et al."Bounded type Siegel disks of a family of sine families".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 488.1(2020):12.