NDLI: Boundedness of Fatou Components of Holomorphic Maps

Content Provider	Springer Nature Link
Author	Cao, Chunlei Wang, Yuefei
Copyright Year	2004
Abstract	We shall discuss the topological properties of the Fatou sets for holomorphic maps. Let f $_{1}$,f $_{2}$,....,f $_{ N }$ be non-constant holomorphic maps in the plane, each having order less than 1/2. It is shown that if the lower order of f $_{ j }$, is greater than 0 for some j∈{1,2,...,N}, then the Fatou set of the map h=f $_{ N }$ ○ f $_{ N-1}$ ○ ... ○f $_{1}$ has no unbounded components
Starting Page	377
Ending Page	384
Page Count	8
File Format	PDF
ISSN	10407294
Journal	Journal of Dynamics and Differential Equations
Volume Number	16
Issue Number	2
e-ISSN	15729222
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	2004-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Ordinary Differential Equations Partial Differential Equations Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Analysis

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Boundedness of Fatou Components of Holomorphic Maps