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A Property of the Principal Cluster sets of a Class of Holomorphic Functions*

Published online by Cambridge University Press:  22 January 2016

F. Bagemihl
F. Bagemihl*
Affiliation:
University of Wisconsin-Milwaukee
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Let D be the open unit disk and Γ be the unit circle in the complex plane, and denote by Ω the Riemann sphere. If f(z) is a meromorphic function in D, and if ζ∈Г, then the principal cluster set of f at ζ is the set

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 43 , September 1971 , pp. 157 - 159
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1971

References

[1] Bagemihl, F., Some results and problems concerning chordal principal cluster sets, Nagoya Math. J. 29 (1967), 7–18.Google Scholar
[2] Collingwood, E.F. and Cartwright, M.L., Boundary theorems for a function meromorphic in the unit circle, Acta Math. 87 (1952), 83–146.CrossRefGoogle Scholar
[3] Priwalow, I.I., Randeigenschften analytischer Funktionen, Berlin, 1956.Google Scholar