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Proceedings of the American Mathematical Society

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

 

 

On a coefficient inequality for starlike functions


Author: Roger W. Barnard
Journal: Proc. Amer. Math. Soc. 47 (1975), 429-430
MathSciNet review: 0352437
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Abstract: M. S. Robertson considered a coefficient inequality $ I$ for starlike functions that, if true, would imply a generalized Bieberbach coefficient inequality $ B$ for close to convex functions. An example is given of a starlike function whose coefficients do not satisfy coefficient inequality $ I$.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0352437-2
Keywords: Univalent functions, starlike functions, close to convex functions, coefficient inequalities
Article copyright: © Copyright 1975 American Mathematical Society