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On the Schwarzian coefficients of univalent functions
Published online by Cambridge University Press: 17 April 2009
Abstract
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