Published: 1955 Received: July 23, 1954Available on J-STAGE: August 29, 2006Accepted: -
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Date of correction: August 29, 2006Reason for correction: -Correction: CITATIONDetails: Right : 1) W. Seidel: On the distribution of values of bounded analytic functions. Trans. Amer. Math. Soc. 36 (1934). 2) M. Tsuji: On an extension of Löwner's theorm. Proc. Imp. Acad. 18 (1942). The special case, where f(z) is schlicht in |z|<1, is proved by Y. Kawakami: On an extension of Löwner's lemma. Jap. Journ. Math. 17 (1941). 3) K. Noshiro: Contributions to the theory of the singularities of analytic functions. Jap. Journ. Math. 19 (1944-48). 4) O. Frostman: Potentiel d'équilibre et capacité des ensembles. Lund. (1935). 5) Y. Nagai: On the behaviour of the boundary of Riemann surfaces. II. Proc. Jap. Acad. 26 (1950). 6) M. Tsuji: Some metrical theorems on Fuchsian groups. Kodai Math. Seminar Reports. (1950). 7) M. Tsuji: Theory of meromorphic functions in a neighbourhood of a closed set of capacity zero. Jap. Journ. Math. 19 (1944). 8) G. Julia: Sur le domaine d'existence d'une fonction implicite définie par une relation entière G(x,y)=0. Bull. Soc. Math. France (1926). 9) M. Tsuji: On the cluster set of a meromorphic function. Proc. Imp. Acad. 19 (1943). 10) F. Iversen: Sur quelques propriétés des fonctions monogenes au voisinage d'un point singulier. Öfv. af Finska Vet. Soc. Förh. 58 (1916). K. Kunugui: Sur un théorème de MM. Seidel-Beurling. Proc. Imp. Acad. 15 (1939). 11) K. Kunugui: Sur un problème de M. A. Beurling. Proc. Imp. Acad. 19 (1940). K. Noshiro: Note on the cluster sets of analytic functions. Journ. Math. Soc. Japan 1 (1949-50).
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