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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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Univalent functions which map onto regions of given transfinite diameter
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by P. L. Duren and M. M. Schiffer
Trans. Amer. Math. Soc. 323 (1991), 413-428
DOI: https://doi.org/10.1090/S0002-9947-1991-0979964-2
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Abstract:

By a variational method, the sharp upper bound is obtained for the second coefficients of normalized univalent functions which map the unit disk onto regions of prescribed transfinite diameter, or logarithmic capacity.
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Bibliographic Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 323 (1991), 413-428
  • MSC: Primary 30C70; Secondary 30C50, 30C85
  • DOI: https://doi.org/10.1090/S0002-9947-1991-0979964-2
  • MathSciNet review: 979964