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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Islands and peninsulas on arbitrary Riemann surfaces
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by Leo Sario
Trans. Amer. Math. Soc. 106 (1963), 521-533
DOI: https://doi.org/10.1090/S0002-9947-1963-0145067-5
References
  • Lars Ahlfors, Zur Theorie der Überlagerungsflächen, Acta Math. 65 (1935), no. 1, 157–194 (German). MR 1555403, DOI 10.1007/BF02420945
  • —, Über die Anwendung differentialgeometrischer Methoden zur Untersuchung von Überlagerungflächen, Acta Soc. Sci. Fenn. Nova Ser. A II 6 (1937), 17 pp.
  • Lars V. Ahlfors and Leo Sario, Riemann surfaces, Princeton Mathematical Series, No. 26, Princeton University Press, Princeton, N.J., 1960. MR 0114911
  • Kinjiro Kunugui, Sur l’allure d’une fonction analytique uniforme au voisinage d’un point frontière de son domaine de définition, Jpn. J. Math. 18 (1942), 1–39 (French). MR 16487, DOI 10.4099/jjm1924.18.0_{1}
  • Kiyoshi Noshiro, Open Riemann surface with null boundary, Nagoya Math. J. 3 (1951), 73–79. MR 47144
  • B. Rodin, Reproducing formulas on Riemann surfaces, Doctoral dissertation, University of California, Los Angeles, Calif., 1961, 71 pp. L. Sario, Meromorphic maps of arbitrary Riemann surfaces, Tech. Rep. 22, Contract DA-04-495-ORD-1959, Office of Ordnance Research, U. S. Army, November 1960.
  • Leo Sario, Meromorphic functions and conformal metrics on Riemann surfaces, Pacific J. Math. 12 (1962), 1079–1097. MR 150285
  • Leo Sario, Picard’s Great Theorem on Riemann surfaces, Amer. Math. Monthly 69 (1962), 598–608. MR 146374, DOI 10.2307/2310822
  • Jirô Tamura, Meromorphic functions on open Riemann surfaces, Sci. Papers College Gen. Ed. Univ. Tokyo 9 (1959), 175–186. MR 111833
  • Yosiro Tumura, Quelques applications de la théorie de M. Ahlfors, Jpn. J. Math. 18 (1942), 303–322 (French). MR 16136, DOI 10.4099/jjm1924.18.0_{3}03
  • Georges Valiron, Sur les valeurs déficientes des fonctions algébroïdes méromorphes d’ordre nul, J. Analyse Math. 1 (1951), 28–42 (French, with Hebrew summary). MR 40421, DOI 10.1007/BF02790081
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Bibliographic Information
  • © Copyright 1963 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 106 (1963), 521-533
  • MSC: Primary 30.45
  • DOI: https://doi.org/10.1090/S0002-9947-1963-0145067-5
  • MathSciNet review: 0145067