Holomorphic mappings of the unit disc into itself with two fixed points

The paper is concerned with holomorphic mappings of the unit disc into itself with two fixed points. Two cases are considered: when one fixed point lies inside the disc and the other lies on the boundary and when both fixed points lie on the boundary. The effect that angular derivatives at boundary...

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Veröffentlicht in:	Sbornik. Mathematics 2017-03, Vol.208 (3), p.360-376
1. Verfasser:	Goryainov, V. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	angular derivative coefficient region Derivatives domain of univalence fixed point Fixed points (mathematics) holomorphic mapping Mathematical analysis
Online-Zugang:	Volltext
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