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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A refinement for coefficient estimates of univalent functions
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by David Horowitz
Proc. Amer. Math. Soc. 54 (1976), 176-178
DOI: https://doi.org/10.1090/S0002-9939-1976-0396932-X
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Abstract:

By examining the coefficient inequalities of FitzGerald it is shown that if $f(z) = z + {a_2}{z^2} + {a_3}{z^3} + \ldots$ is analytic and univalent in the unit disc, then $|{a_n}| < (1.0691)n$.
References
Bibliographic Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 54 (1976), 176-178
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0396932-X
  • MathSciNet review: 0396932