On the Schwarzian coefficients of univalent functions

Stephen Michael Zemyan

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)391-400
Number of pages10
JournalBulletin of the Australian Mathematical Society
Volume46
Issue number3
DOIs
StatePublished - Jan 1 1992

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Univalent Functions
Order of Growth
Sharp Bound
Coefficient
Estimate

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Zemyan, Stephen Michael. / On the Schwarzian coefficients of univalent functions. In: Bulletin of the Australian Mathematical Society. 1992 ; Vol. 46, No. 3. pp. 391-400.
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On the Schwarzian coefficients of univalent functions. / Zemyan, Stephen Michael.

In: Bulletin of the Australian Mathematical Society, Vol. 46, No. 3, 01.01.1992, p. 391-400.

Research output: Contribution to journalArticle

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