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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A finite capacity analogue of the Koebe one-quarter theorem
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by Robin Cunningham PDF
Proc. Amer. Math. Soc. 119 (1993), 869-875 Request permission

Abstract:

A variational method is used to determine the largest disk about the origin covered by the image of every normalized univalent function that maps the unit disk onto a region of prescribed logarithmic capacity (transfinite diameter).
References
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 119 (1993), 869-875
  • MSC: Primary 30C25
  • DOI: https://doi.org/10.1090/S0002-9939-1993-1161400-4
  • MathSciNet review: 1161400