The Bergweiler-Eremenko theorem for finite lower order
type: Item
instance of: scholarly article
title: The Bergweiler-Eremenko theorem for finite lower order
zbMATH Open document ID: 1036.30022
DOI: 10.1007/BF03322728
author: James D. Hinchliffe
published in: Results in Mathematics
publication date: 2003-11-10T00:00:00Z
review text: In 1995, Bergweiler and Eremenko proved a result concerning transcendental singularities of the inverse of a meromorphic fuction of finite order. In this paper, the author extends Bergweiler and Eremenko's result to the functions of finite lower order.
Mathematics Subject Classification ID: 30D35
zbMATH DE Number: 2002347
zbMATH Keywords: transcendental and meromorphic function
zbMATH Keywords: asymptotic value
zbMATH Keywords: critical value
zbMATH Keywords: finite order
zbMATH Keywords: finite lower order
reviewed by: X. Wang
MaRDI profile type: Publication
cites work: On the singularities of the inverse to a meromorphic function of finite order
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cites work: On the zeros of meromorphic functions of the form \(f(z)= \sum_{k=1}^ \infty {{a_ k} \over {z-z_ k}}\)
cites work: Picard values and normal families of meromorphic functions with multiple zeros
cites work: Q5723337
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cites work: Q5818666
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full work available at URL: https://doi.org/10.1007/bf03322728
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description: scientific article; zbMATH DE number 2002347