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On the Metrical Theorems of Cluster Sets of Meromorphic Functions

Published online by Cambridge University Press:  22 January 2016

Chuji Tanaka
Chuji Tanaka*
Affiliation:
Waseda University, Tokyo
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Recently the important contributions to the cluster sets theory of the meromorphic functions in the unit-disc have been done by many authors. For its recent development, we refer to K. Noshiro [10]. Roughly speaking, these studies can be divided into two classes ; the first one is topological, and the second one is metrical. As far as the author knows, there exist very few results on the metrical theorems on cluster sets of functions meromophic in an arbitrary connected domain, except for the case that its boundary is of logarithmic capacity zero. (K. Noshiro [10] pp. 5-31).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 24 , June 1964 , pp. 143 - 157
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1964

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