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Early coefficients of the inverse of a regular convex function

Proceedings of the American Mathematical Society · 1982 · Vol. 85(2) · pp. 225–230

Abstract

Using known properties of functions of positive real part it is shown that the first seven coefficients of the inverse of a regular univalent function mapping the disk onto a convex region are bounded by 1.

Analytic and geometric function theoryHolomorphic and Operator TheoryAlgebraic and Geometric AnalysisInverseInverse functionConvex functionBounded functionRegular polygonMathematicsFunction (biology)Mathematical analysisPure mathematicsGeometry

Funding

  • University of Delaware
  • Deutscher Akademischer Austauschdienst
Citations
287
FWCI
3.36
field-weighted impact
References
8
Percentile
92%
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Citations per year
References
<i>Toeplitz Forms and Their Applications</i>
Physics Today · 1958 · 1,868 citations
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