We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
Meromorphic Dynamics from Part III - Topological Dynamics of Meromorphic Functions
Published online by Cambridge University Press: 20 April 2023
We analyze the structure of Fatou components and the structure of their boundaries in greater detail. In particular, we study the simple connectedness of such components. We also bring up the definitions of Speiser class $\cS$ and Eremenko–Lyubich class $\cB$ and we prove some structural theorems about their Fatou components. In particular, we prove no existence of Baker domains and wandering domains (Sullivan Nonwandering Theorem) for class $\cS$, the latter in Appendix B.
To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.
Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
Find out more about the Kindle Personal Document Service.
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.
