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Radial distributions of Julia sets of meromorphic functions

Part of: Complex dynamical systems Entire and meromorphic functions, and related topics

Published online by Cambridge University Press:  09 April 2009

Ling Qiu  and
Shengjian Wu
Shengjian Wu
Affiliation:
LMAM School of Mathematical SciencesPeking UniversityBeijing 100871 P. R.China e-mail: [email protected]
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Abstract

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We consider a meromorphic function of finite lower order that has ∞ as its deficient value or as its Borel exceptional value. We prove that the set of limiting directions of its Julia set must have a definite range of measure.

MSC classification

Secondary: 30D45: Bloch functions, normal functions, normal families 37F10: Polynomials; rational maps; entire and meromorphic functions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 81 , Issue 3 , December 2006 , pp. 363 - 368
Copyright
Copyright © Australian Mathematical Society 2006

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