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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 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Mapping by analytic functions. I. Conformal mapping of multiply-connected domains
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by Leonard Greenstone PDF
Trans. Amer. Math. Soc. 63 (1948), 125-143 Request permission

Erratum: Trans. Amer. Math. Soc. 63 (1948), 599-600.
References
  • E. F. Beckenbach and T. Radó, Subharmonic functions and surfaces of negative curvature, Trans. Amer. Math. Soc. 35 (1933), no. 3, 662–674. MR 1501708, DOI 10.1090/S0002-9947-1933-1501708-X
  • S. Bergman Partial differential equations, advanced topics (Conformal mapping of multiply connected domains), Publication of Brown University, Providence, 1941. —Sur les fonctions orthogonales de plusieurs variables complexes avec applications à la théorie des fonctions analytiques, Mémorial des Sciences Mathématiques, vol. 106, Paris, 1947. —Zur Theorie der linearen Integral- und Funktionalgleichungen im komplexen Gebiet, Bulletin de l’Institut de Mathématique et Mécanique à l’Université Kouybycheff de Tomsk vol. 1 (1937) pp. 242-257. —A note on conformal mapping of multiply connected domains, Amer. J. Math. vol. 68 (1946) pp. 20-28. L. Bieberbach Lehrbuch der Funktionentheorie, New York, 1945. H. Villat Leçons sur l’hydrodynamique, Paris, 1929.
  • Menahem Schiffer, The kernel function of an orthonormal system, Duke Math. J. 13 (1946), 529–540. MR 19115
  • K. Zarankiewicz Über ein numerisches Verfahren zur konformen A bbildung zweifach zusammenhängender Gebiete, Zeitschrift für Aegewandte Mathematik und Mechanik vol. 14 (1934) pp. 97-104.
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Additional Information
  • © Copyright 1948 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 63 (1948), 125-143
  • MSC: Primary 30.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1948-0023337-0
  • MathSciNet review: 0023337