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Univalent functions and the Schwarzian derivative

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Commentarii Mathematici Helvetici

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References

  1. Ahlfors, L. V., Quasiconformal reflections,Acta Math. 109 (1963) 291–302.

    Article  MATH  MathSciNet  Google Scholar 

  2. —,Complex analysis, McGraw-Hill, New York 1966.

    MATH  Google Scholar 

  3. Bers, L., A non-standard integral equation with applications to quasiconformal mappings,Acta Math. 116 (1966) 113–134.

    Article  MATH  MathSciNet  Google Scholar 

  4. —, Uniformation, moduli, and Kleinian groups,Bull. London Math. Soc. 4 (1972) 257–300.

    MATH  MathSciNet  Google Scholar 

  5. Gehring, F. W., Extension of quasiconformal mappings in three space,J. d'Analyse Math. 14 (1965) 171–182.

    Article  MATH  MathSciNet  Google Scholar 

  6. —, Quasiconformal mappings of slit domains in three space,J. Math. Mech. 18 (1969) 689–703.

    MATH  MathSciNet  Google Scholar 

  7. Kraus, W., Über den Zusammenhang einiger Charakteristiken eines einfach zusammenhängenden Bereiches mit der Kreisabbildung,Mitt. Math. Sem. Giessen 21 (1932) 1–28.

    Google Scholar 

  8. Lehto, O., Quasiconformal mappings in the plane,Lecture Notes 14, Univ. of Maryland 1975.

  9. Lehto, O. andVirtanen, K. I.,Quasiconformal mappings in the plane, springer-Verlag, Berlin-Heidelberg-New York 1973.

    MATH  Google Scholar 

  10. Nehari, Z., The Schwarzian derivative and schlicht functions,Bull. Amer. Math. Soc. 55 (1949) 545–551.

    Article  MATH  MathSciNet  Google Scholar 

  11. Newman, M. H. A.,Elements of the topology of plane sets of points, Cambridge Univ. Press 1954.

  12. Pommerenke, C.,Univalent functions, Vandenhoeck and Ruprecht, Göttingen 1975.

    MATH  Google Scholar 

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Authors and Affiliations

  1. University of Michigan, Ann Arbor, Michigan

    F. W. Gehring

  2. University of Paris, Orsay, France

    F. W. Gehring

Authors
  1. F. W. Gehring
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Dedicated to Professor A. Pfluger on his seventieth birthday

This research was supported in part by grants from the U.S. National Science Foundation, Grant MPS 7507940, and from the Samuel Neaman Fund, Special Year in Complex Analysis, Technion, Haifa, 1975–76.

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Gehring, F.W. Univalent functions and the Schwarzian derivative. Commentarii Mathematici Helvetici 52, 561–572 (1977). https://doi.org/10.1007/BF02567390

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  • DOI: https://doi.org/10.1007/BF02567390

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