On the Schwarzian coefficients of univalent functions

Stephen M. Zemyan

doi:10.1017/S0004972700012053

On the Schwarzian coefficients of univalent functions

Stephen M. Zemyan

Penn State Mont Alto

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

For f[formula omitted]S, we study the Schwarzian coefficients s_n defined by {fz} = Σ s_nzⁿ. Sharp bounds on s₀s₁ and s₂ are given, together with an order of growth estimate as n → ∞. We use the Grunsky Inequalities to estimate combinations of coefficients.

Original language	English (US)
Pages (from-to)	391-400
Number of pages	10
Journal	Bulletin of the Australian Mathematical Society
Volume	46
Issue number	3
DOIs	https://doi.org/10.1017/S0004972700012053
State	Published - Dec 1992

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1017/S0004972700012053

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title = "On the Schwarzian coefficients of univalent functions",

abstract = "For f[formula omitted]S, we study the Schwarzian coefficients sn defined by \{fz\} = Σ snzn. Sharp bounds on s0s1 and s2 are given, together with an order of growth estimate as n → ∞. We use the Grunsky Inequalities to estimate combinations of coefficients.",

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AB - For f[formula omitted]S, we study the Schwarzian coefficients sn defined by {fz} = Σ snzn. Sharp bounds on s0s1 and s2 are given, together with an order of growth estimate as n → ∞. We use the Grunsky Inequalities to estimate combinations of coefficients.

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DO - 10.1017/S0004972700012053

M3 - Article

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JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

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On the Schwarzian coefficients of univalent functions

Abstract

All Science Journal Classification (ASJC) codes

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