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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Identities in the theory of conformal mapping
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by P. R. Garabedian and M. Schiffer PDF
Trans. Amer. Math. Soc. 65 (1949), 187-238 Request permission
References
    S. Bergman, Partial differential equations, Brown University Publications, Providence, 1941.
  • S. Bergman and M. Schiffer, A representation of Green’s and Neumann’s functions in the theory of partial differential equations of second order, Duke Math. J. 14 (1947), 609–638. MR 22291
  • Bernard Epstein, Some inequalities relating to conformal mapping upon canonical slit-domains, Bull. Amer. Math. Soc. 53 (1947), 813–819. MR 22259, DOI 10.1090/S0002-9904-1947-08895-9
    • H. Groetzsch, Ueber die Verzerrung bei schlichter konformer Abbildung mehrfach zusammenhaengender schlichter Bereiche III, Berichte der Saechsische Akademie der Wissenschaften, Leipzig, vol. 83 (1931) pp. 283-297. —, Ueber das Parallelschlitztheorem der konformen Abbildung schlichter Bereiche, Berichte der Saechsischen Akademie der Wissenschaften, Leipzig, vol. 84 (1932) pp. 15-36. H. Grunsky, Neue Abschaetzungen zur konformen Abbildung ein- und mehrfach zusammenhaengender Bereiche, Schriften des mathematischen Seminars und des Instituts für angewandte Mathematik an der Universität Berlin vol. 1 (1932) pp. 94-140.
  • Helmut Grunsky, Koeffizientenbedingungen für schlicht abbildende meromorphe Funktionen, Math. Z. 45 (1939), no. 1, 29–61 (German). MR 1545803, DOI 10.1007/BF01580272
    • K. Hensel and G. Landsberg, Theorie der algebraischen Functionen einer Variabeln und ihre Anwendung auf algebraische Kurven und algebraische Integrale, Leipzig, 1902. M. Schiffer, A method of variation within the family of simple functions, Proc. London Math. Soc. (2) vol. 44 (1938) pp. 432-449.
  • Menahem Schiffer, Variation of the Green function and theory of the $p$-valued functions, Amer. J. Math. 65 (1943), 341–360. MR 7925, DOI 10.2307/2371820
  • Menahem Schiffer, The span of multiply connected domains, Duke Math. J. 10 (1943), 209–216. MR 8259
  • Menahem Schiffer, Hadamard’s formula and variation of domain-functions, Amer. J. Math. 68 (1946), 417–448. MR 18750, DOI 10.2307/2371824
  • Menahem Schiffer, The kernel function of an orthonormal system, Duke Math. J. 13 (1946), 529–540. MR 19115
  • Menahem Schiffer, An application of orthonormal functions in the theroy of conformal mapping, Amer. J. Math. 70 (1948), 147–156. MR 23339, DOI 10.2307/2371941
    • E. Schottky, Ueber die konforme Abbildung mehrfach zusammenhaengender ebener Flaechen, J. Reine Angew. Math. vol. 83 (1877) pp. 300-351.
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Additional Information
  • © Copyright 1949 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 65 (1949), 187-238
  • MSC: Primary 30.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1949-0028944-8
  • MathSciNet review: 0028944