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 prope...

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Bibliographic Details
Main Authors: Jensen Gerd
Pommerenke Christian
Format: Article
Published: 2019
Series:Acta scientiarum mathematicarum 85 No. 1-2
Kulcsszavak:Polinom, Matematika
doi:10.14232/actasm-017-821-6

Online Access:http://acta.bibl.u-szeged.hu/62138
Description
Summary: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.
Physical Description:147-170
ISSN:2064-8316