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Proceedings of the American Mathematical Society

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

 

 

The radii of starlikeness and convexity of certain Nevanlinna analytic functions


Authors: Maxwell O. Reade and Pavel G. Todorov
Journal: Proc. Amer. Math. Soc. 83 (1981), 289-295
MSC: Primary 30C45; Secondary 30C75
MathSciNet review: 624916
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Abstract: We determine the radius of starlikeness and the radius of convexity of analytic functions having the forms $ \smallint _{ - 1}^1d\mu (t)/(z - t)$ and $ \smallint _{ - 1}^1zd\mu (t)/(1 - tz)$ where $ \mu (t)$ is a probability measure.


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DOI: https://doi.org/10.1090/S0002-9939-1981-0624916-4
Keywords: Univalence, convexity, starlikeness
Article copyright: © Copyright 1981 American Mathematical Society