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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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On distortion in pseudo-conformal mapping
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by Stefan Bergman and D. C. Spencer
Trans. Amer. Math. Soc. 51 (1942), 133-163
DOI: https://doi.org/10.1090/S0002-9947-1942-0005771-2
References
    Stefan Bergman Über eine in der Theorie der Funktionen von zwei komplexen Veränderlichen auftretende unitäre Geometrie, Proceedings, Akademie van Wetenschappen, Amsterdam, vol. 36 (1933), pp. 307-313. —Sur quelques propriétés des transformations par un couple des fonctions de deux variables complexes, Rendiconti delle R. Accademia Nazionale dei Lincei, (6), vol. 19 (1934), pp. 474-478. —Über eine Abschätzung von meromorphen Funktionen zweier komplexen Veränderlichen in Bereichen mit ausgezeichneter Randfläche, Travaux de l’Institut Mathématique de Tbilissi, vol. 1 (1937), pp. 187-204. —Theory of pseudo-conformal transformations and its connection with differential geometry, Notes of lectures delivered at the Massachusetts Institute of Technology, 1939-1940 (available at the Brown University library). —Lectures on conformal mapping of multiply-connected domains (Partial Differential Equations, Advanced Topics), Publication of Brown University, 1941. —Sur les Fonctions Orthogonales de Plusieurs Variables Complexes avec les Applications à la Théorie des Fonctions Analytiques, Interscience Publishers, New York, 1941. A. Bermant Remarque sur le lemme de Schwarz, Comptes Rendus de l’Académie des Sciences, Paris, vol. 207 (1938), pp. 31-33. G. M. Golusin Einige Überdeckungssatze für die im Kreise regulären Funktionen, Recueil Mathématique, (n.s.), vol. 2(44) (1937), pp. 617-619. W. F. Osgood Lehrbuch der Funktionentheorie, vol. 2, part 1.
  • D. C. Spencer, On finitely mean valent functions, Proc. London Math. Soc. (2) 47 (1941), 201–211. MR 4904, DOI 10.1112/plms/s2-47.1.201
  • D. C. Spencer, On an inequality of Grunsky, Proc. Nat. Acad. Sci. U.S.A. 26 (1940), 616–621. MR 2587, DOI 10.1073/pnas.26.10.616
  • D. C. Spencer, On a theorem of Rengels, J. Math. Phys. Mass. Inst. Tech. 20 (1941), 118–123. MR 3236, DOI 10.1002/sapm1941201118
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Bibliographic Information
  • © Copyright 1942 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 51 (1942), 133-163
  • MSC: Primary 30.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1942-0005771-2
  • MathSciNet review: 0005771