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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Two radius of convexity problems


Author: Carl P. McCarty
Journal: Proc. Amer. Math. Soc. 42 (1974), 153-160
MSC: Primary 30A32
MathSciNet review: 0325949
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Abstract: The sharp radius of convexity of functions with prescribed second coefficient is found for the two classes: functions starlike of order $ \alpha $, and functions whose derivative has real part greater than $ \alpha $.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0325949-4
PII: S 0002-9939(1974)0325949-4
Keywords: Radius of convexity, functions starlike of order $ \alpha $, functions with positive real part
Article copyright: © Copyright 1974 American Mathematical Society