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Proceedings of the American Mathematical Society

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

 

 

Functions whose derivative has positive real part


Author: R. R. London
Journal: Proc. Amer. Math. Soc. 103 (1988), 521-524
MSC: Primary 30C45
DOI: https://doi.org/10.1090/S0002-9939-1988-0943078-3
MathSciNet review: 943078
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Abstract: In this paper we find a sharp upper bound for $ \left\vert {z\,f'\left( z \right) / f\left( z \right)} \right\vert$, where $ f$ is a normalised analytic function with Re $ f'\left( z \right) > 0$ in the unit disc.


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DOI: https://doi.org/10.1090/S0002-9939-1988-0943078-3
Article copyright: © Copyright 1988 American Mathematical Society