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The size of the Julia set of meromorphic functions
Author(s) -
Mayer Volker
Publication year - 2009
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200710794
Subject(s) - meromorphic function , julia set , mathematics , hausdorff dimension , order (exchange) , set (abstract data type) , pure mathematics , dimension (graph theory) , hausdorff space , mathematical analysis , finance , computer science , economics , programming language
We give a lower bound of the hyperbolic and the Hausdorff dimension of the Julia set of meromorphic functions of finite order under very general conditions (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)