Shabat polynomials and conformal mapping

Shabat polynomials and conformal mapping

In this paper a concise but systematic account of the relations between Shabat polynomials and plane trees is given, including the famous equivalence theorem for plane trees attributed to Riemann–Belyi–Grothendieck–Shabat. Furthermore, some analytical features of Shabat polynomials and metric proper...

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Veröffentlicht in:Acta scientiarum mathematicarum (Szeged) 2019-01, Vol.85 (1-2), p.147-170
Hauptverfasser: Jensen, Gerd, Pommerenke, Christian
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Functional Analysis
Mathematics
Operator Theory
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Beschreibung
Zusammenfassung:In this paper a concise but systematic account of the relations between Shabat polynomials and plane trees is given, including the famous equivalence theorem for plane trees attributed to Riemann–Belyi–Grothendieck–Shabat. Furthermore, some analytical features of Shabat polynomials and metric properties of Shabat trees are discussed.
ISSN:0001-6969
2064-8316
DOI:10.14232/actasm-017-821-6