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On the Behavior of an Analytic Function about an Isolated Boundary Point

Published online by Cambridge University Press:  22 January 2016

Makoto Ohtsuka
Makoto Ohtsuka*
Affiliation:
Mathematical Institute, Nagoya University
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Let D be an open set in the 2-plane, C its boundary, z 0 a point on C, and f(z) a one-valued meromorphic function in D.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 4 , June 1952, pp. 103 - 108
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1952

References

[1] Ahlfors, L.: Zur Theorie der Überlagerungsfiâchen, Acta Math., 65 (1935), pp. 157–194.CrossRefGoogle Scholar
[2] Brelot, M.: Sur l’allure à la frontière des fonctions harmoniques, sousharmoniques ou holomorphes, Bull. Soc. Roy. Liège, (1939), pp. 468–477.Google Scholar
[3] Iversen, F.: Recherches sur les fonctions inverses des fonctions méromorphes, Thèse c|e Helsingfors, (1914).Google Scholar
[4] Julia, G.: Leçons sur la représentation conforme des aires multiplement connexes, Paris (1934).Google Scholar
[5] Kunugui, K.: Sur un problème de M. A. Beurling, Proc. Imp. Acad. Tokyo, 16 (1940), pp. 345–350.Google Scholar
[6] Noshiro, K.: On the singularities of analytic functions, Jap. Journ. Math., 17 (1940), pp. 37–96.Google Scholar
[7] Noshiro, K.: A theorem on the cluster sets of pseudo-analytic functions, Nagoya Math. Journ., 1 (1950), pp. 83–89.CrossRefGoogle Scholar
[8] Ohtsuka, M.: Dirichlet problems on Riemann surfaces and conformal mappings, Nagoya Math. Journ., 3 (1951), pp. 91–137.Google Scholar