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Original Articles

A note on poincaré metric related quantities in conformal mapping

Pages 549-554 | Received 08 Dec 2003, Published online: 05 Mar 2007

References

References

  • Bieberbach , L . 1916 . Über die Koeffizienten derjenigen Potenzreihen, welche eine schlichte Abbildung des Einheitskreises vermitteln, Sitzungsber . Preuss. Akad. Wiss. , 38 : 940 – 955 .
  • Duren PL 1983 Univalent functions Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences] pp. 259 Springer-Verlag New York
  • Goluzin GM 1969 Geometric theory of functions of a complex variable Translations of Mathematical Monographs 26 American Mathematical Society Providence R.I
  • Köbe P 1907 Über die Uniformisierung beliebiger analytischer Kurven Nachr. Kgl. Ges. Wiss. Göttingen, Math.-Phys. Kl 191 210
  • Löwner , K . 1923 . Untersuchungen über schlichte konforme Abbildungen des Einheitskreises . Math. Ann. , 89 : 103 – 121 .
  • Osgood , BG . 1982 . Some properties of f′′/f′ and the Poincaré metric . Indiana Univ. Math. J. , 31 ( 4 ) : 449 – 461 .
  • Pommerenke , Ch. 1965 . Über die Subordination analytischer Funktionen . J. Reine Angew. Math. , 218 : 159 – 173 .

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