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On the Schwarzian coefficients of univalent functions

Published online by Cambridge University Press:  17 April 2009

Stephen M. Zemyan
Stephen M. Zemyan
Affiliation:
Department of Mathematics, Penn State University, Mont Alto PA 17237-9799, United States of America
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Abstract

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For f ∈ S, we study the Schwarzian coefficients sn defined by {f, z} = Σ snzn. Sharp bounds on s0, s1 and s2 are given, together with an order of growth estimate as n → ∞. We use the Grunsky Inequalities to estimate combinations of coefficients.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 46 , Issue 3 , December 1992 , pp. 391 - 400
Copyright
Copyright © Australian Mathematical Society 1992

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