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Proceedings of the American Mathematical Society

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

 

 

A coefficient inequality for convex univalent functions


Author: S. Y. Trimble
Journal: Proc. Amer. Math. Soc. 48 (1975), 266-267
DOI: https://doi.org/10.1090/S0002-9939-1975-0355027-0
MathSciNet review: 0355027
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Abstract | References | Additional Information

Abstract: A short proof of $ \vert a_2^2 - {a_3}\vert \leq (1 - \vert{a_2}{\vert^2})/3$ is given for normalized convex univalent functions.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0355027-0
Keywords: Convex univalent functions, coefficient inequalities
Article copyright: © Copyright 1975 American Mathematical Society