Dimensions of Julia sets of meromorphic functions with finitely many poles

Rippon, P.J. and Stallard, G.M. (2006). Dimensions of Julia sets of meromorphic functions with finitely many poles. Ergodic Theory and Dynamical Systems, 26(02) pp. 525–538.

DOI: https://doi.org/10.1017/S0143385705000544

Abstract

Let be a transcendental meromorphic function with finitely many poles such that the finite singularities of lie in a bounded set. We show that the Julia set of has Hausdorff dimension strictly greater than one and packing dimension equal to two. The proof for Hausdorff dimension simplifies the earlier argument given for transcendental entire functions.

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• Item ORO ID
• 3846
• Item Type
• Journal Item
• ISSN
• 1469-4417
• Extra Information
• Some of the symbols may not have transferred correctly into this bibliographic record and/or abstract.
• Keywords
• dimensions; Julia sets
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Depositing User
• Gwyneth Stallard