Skip Navigation

Journal of the London Mathematical Society 1994 49(2):281-295; doi:10.1112/jlms/49.2.281
© 1994 by London Mathematical Society
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Stallard, G. M.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The London Mathematical Society

The Hausdorff Dimension of Julia Sets of Meromorphic Functions

Gwyneth M. Stallard

Department of Mathematics, Imperial College of Science, Technology and Medicine London SW7 2AZ

Received 6 March 1992.

We consider the class of transcendental meromorphic functions which have at least one pole and are not conjugate to a self-map of C*. We show that the Hausdorff dimension of the Julia set of such a function satisfies 0 < dim J(f) ≤ 2 and this result is sharp.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.