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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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The de Branges theorem on univalent functions
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by Carl H. FitzGerald and Ch. Pommerenke PDF
Trans. Amer. Math. Soc. 290 (1985), 683-690 Request permission

Abstract:

We present a simplified version of the de Branges proof of the Lebedev-Milin conjecture which implies the Robertson and Bieberbach conjectures. As an application of an analysis of the technique, it is shown that the method could not be used directly to prove the Bieberbach conjecture.
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 290 (1985), 683-690
  • MSC: Primary 30C50
  • DOI: https://doi.org/10.1090/S0002-9947-1985-0792819-9
  • MathSciNet review: 792819