Extremality of Koebe’s Function

The remarkable Koebe function is the (unique) extremal of many important distortion functionals in geometric function theory. This paper provides a complete characterization of such functionals.

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Publication Details

Journal
Axioms
Published
2025-11-28
DOI
https://doi.org/10.3390/axioms14120873
Citations
2
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
8.18
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article

Extremality of Koebe’s Function

Samuel L. Krushkal
2 citations
Axioms
Analytic and geometric function theory
8.18
article

Extremality of Koebe’s Function

Samuel L. Krushkal
article en
2 citations

Abstract

The remarkable Koebe function is the (unique) extremal of many important distortion functionals in geometric function theory. This paper provides a complete characterization of such functionals.

AxiomsVol. 14(12)
Bar-Ilan University (IL), University of Virginia (US)
Openalex Percentile: Top 2%
Analytic and geometric function theory
8.18
DOIOpen Access PDFOpenAlex
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Extremality of Koebe’s Function — Samuel L. Krushkal · Axioms (2025) | TGRS Research Map | TGRS