Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-26T12:22:21.319Z Has data issue: false hasContentIssue false
  • English
  • Français

Size of the Julia set of a structurally finite transcendental entire function

Published online by Cambridge University Press:  26 June 2003

MASAHIKO TANIGUCHI
MASAHIKO TANIGUCHI
Affiliation:
Graduate School of Science, Kyoto University, 606 Kyoto, Japan. e-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

We show that, for every structurally finite transcendental entire function, the Hausdorff dimension of its Julia set is two.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 135 , Issue 1 , July 2003 , pp. 181 - 192
Copyright
2003 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)