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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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Level curves of functions of bounded characteristic
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by Karl F. Barth and James G. Clunie PDF
Proc. Amer. Math. Soc. 82 (1981), 553-559 Request permission

Abstract:

The authors construct a meromorphic function of bounded characteristic whose level set for 1 contains a sequence of closed Jordan curves which surround the origin and which converge to all of the unit circle. Some sufficient conditions are given for each level set of a meromorphic function of bounded characteristic to end at points.
References
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 82 (1981), 553-559
  • MSC: Primary 30D50; Secondary 30D40
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0614877-6
  • MathSciNet review: 614877