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The Hardy class of a spiral-like function and its derivative


Authors: T. Başgöze and F. R. Keogh
Journal: Proc. Amer. Math. Soc. 26 (1970), 266-269
MSC: Primary 30.67
DOI: https://doi.org/10.1090/S0002-9939-1970-0264084-7
MathSciNet review: 0264084
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Abstract | References | Similar Articles | Additional Information

Abstract: A determination is made of the Hardy classes to which a spiral-like univalent function and its derivative belong. An estimate for the size of the Taylor coefficients is deduced.


References [Enhancements On Off] (What's this?)

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  • [3] R. J. Libera, Univalent $ \alpha $-spiral functions, Canad. J. Math. 19 (1967), 449-456. MR 35 #5599. MR 0214750 (35:5599)
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  • [6] M. S. Robertson, Univalent-functions $ f(z)$ for which $ zf'(z)$ is spirallike, Michigan Math. J. 16 (1969), 97-101. MR 39 #5785. MR 0244471 (39:5785)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1970-0264084-7
Keywords: Hardy class, spiral-like univalent function, Hölder's inequality
Article copyright: © Copyright 1970 American Mathematical Society

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