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On a Uniqueness Theorem

Published online by Cambridge University Press:  22 January 2016

V. I. Gavrilov
V. I. Gavrilov*
Affiliation:
Moscow University, USSR Indian Institute of Technology, Bombay
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1. Let D be the open unit disk and r be the unit circle in the complex plane, and denote by Q the extended complex plane or the Rie-mann sphere.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 35 , July 1969 , pp. 151 - 157
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1969

References

[1] Bagemihl, F.. Chordal limits of holomorphic functions at Plessner points. J. Sci. Hiroshima Univ. Ser. A, Div. 1, 30, 2 (1966), 109–115.Google Scholar
[2] Bagemihl, F., Erdös, P., Seidel, W.. Sur quelques propriétés frontières des fonctions holomorphes definies par certains produits dans le cercle-unité. Ann. Ecole Norm. Sup. (3) 70 (1953), 135–147.CrossRefGoogle Scholar
[3] Collingwood, E.F.. On the linear and angular cluster sets of functions meromorphic in the unit circle. Acta Math., 91, 3–4 (1954), 165–185.CrossRefGoogle Scholar
[4] Collingwood, E.F., Lohwater, A.J.. The theory of cluster sets. Cambridge, University Press, 1966.Google Scholar
[5] Dolzhenko, E.P.. On boundary uniqueness theorems and the behaviour of analytic functions near the boundary. (In Russian) Dokl. Akad. Nauk. SSSR, 129 (1959), 23–26.Google Scholar
[6] Gavrilov, V.I.. On the distribution of values of non-normal meromorphic functions in the unit disk. (In Russian) Mat. Sb. 109 (n.s. 67) (1965), pp. 408–427.Google Scholar
[7] Gavrilov, V.I.. Meromorphic functions in the unit disk with the prescribed growth of the spherical derivative (In Russian) Mat. Sb. 113 (n.s. 71) (1966), p.p. 386–404.Google Scholar
[8] Noshiro, K.. Cluster sets. Berlin, Springer-Verlag, 1960.Google Scholar