A boundary theorem for Tsuji functions
E. F. Collingwood
Source: Nagoya Math. J. Volume 29
(1967), 197-200.
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30.62
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.nmj/1118802012
Mathematical Reviews number (MathSciNet): MR0207994
Zentralblatt MATH identifier: 0179.38802
References
[1] Tsuji, M. A theorem on the boundary behaviour of a meromorphic function in zl. Comment.Math. Univ. St. Paul, 8 (1960), 53-55.
Mathematical Reviews (MathSciNet): MR0120377
[2] Bagemihl, F. Curvilinear cluster sets of arbitrary functions. Proc. Nat. Acad. Sci. U.S.A., 41 (1955), 379-382.
Mathematical Reviews (MathSciNet): MR0069888
Zentralblatt MATH: 0065.06604
Digital Object Identifier: doi:10.1073/pnas.41.6.379
[3] Collingwood, E. F. and Piranian, G. Tsuji functions with segments of Julia. Math. Zeitschr., 84 (1964), 246-253.
Mathematical Reviews (MathSciNet): MR0166360
Zentralblatt MATH: 0133.03602
Digital Object Identifier: doi:10.1007/BF01112579
[4] Collingwood, E. F. and Lohwater, A. J. The theory of cluster sets, Cambridge, 1966.
Mathematical Reviews (MathSciNet): MR0231999
Zentralblatt MATH: 0149.03003
[5] Privalov, I. I. Randeigenschaftenanalytischer Funktionen, Berlin, 1956.
[6] Meier, Kurt Uber die Randwerte der meromorphen Funktionen. Math. Annalen., 142 (1961), 328-344. Lilburn Tower Alnwick England. Added in proof'- A closely related theorem was proved in the author's paper Tsuji Functions with Julia Points printed in the volume Contemporary Problems in the Theory of Analytic Functions (Russian) International Conference on the Theory of Analytic Functions, Erevan 1965.
Mathematical Reviews (MathSciNet): MR0166363
Digital Object Identifier: doi:10.1007/BF01451027
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