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A Boundary Theorem for Tsuji Functions

Published online by Cambridge University Press:  22 January 2016

E. F. Collingwood
E. F. Collingwood*
Affiliation:
Lilburn Tower, Alnwick, England
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Let D denote the unit disc | z | <1, C the unit circle | z | = 1 and Cr the circle | z| = r. Corresponding to any function w(z) meromorphic in D we denote by w*(z) the spherical derivative

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 29 , March 1967 , pp. 197 - 200
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1967

References

[1] Tsuji, M. A theorem on the boundary behaviour of a meromorphic function in | z | < 1. Comment. Math. Univ. St. Paul, 8 (1960), 53–55.Google Scholar
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[3] Collingwood, E. F. and Piranian, G. Tsuji functions with segments of Julia. Math. Zeitschr., 84 (1964), 246–253.CrossRefGoogle Scholar
[4] Collingwood, E. F. and Lohwater, A. J. The theory of cluster sets, Cambridge, 1966.CrossRefGoogle Scholar
[5] Privalov, I. I. Randeigenschaften analytischer Funktionen, Berlin, 1956.Google Scholar
[6] Meier, , Kurt Uber die Randwerte der meromorphen Funktionen. Math. Annalen., 142 (1961), 328–344.Google Scholar