KMS Of Academy of mathematics and systems sciences, CAS
Bounded type Siegel disks of a family of sine families | |
Zhang, Song1; Fu, Jianxun2; Shi, Xujie3 | |
2020-08-01 | |
Source Publication | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
ISSN | 0022-247X |
Volume | 488Issue:1Pages:12 |
Abstract | 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. |
Keyword | Siegel disk Quasi-circle Critical point |
DOI | 10.1016/j.jmaa.2020.124041 |
Indexed By | SCI |
Language | 英语 |
Funding Project | Fundamental Research Funds for the Central Universities[2019kfyXJJS135] ; National Natural Science Foundation of China[11901219] |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000525911000002 |
Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51077 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Fu, Jianxun |
Affiliation | 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 |
Recommended Citation 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. |
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