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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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 curvilinear extension of Iversen-Tsuji’s theorem for simply connected domain
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by Un Haing Choi PDF
Proc. Amer. Math. Soc. 64 (1977), 47-51 Request permission

Abstract:

Let D be a simply connected domain with at least two boundary points in the complex plane, and t a boundary point of D. For a meromorphic function $f(z)$ in D, $\lim \sup |f(z)|{\text {as}}\;z \to t$ is given in terms of accessible boundary points and prime ends. This gives a curvilinear extension of Iversen-Tsuji’s Theorem for a simply connected domain.
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 64 (1977), 47-51
  • MSC: Primary 30A72
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0447576-3
  • MathSciNet review: 0447576