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Close-to-convex functions with quasiconformal extension

Part of the Lecture Notes in Mathematics book series (LNM,volume 1039)

Abstract

A sufficient condition for a close-to-convex function is obtained for the existence of a quasiconformal extension. The authors give also examples showing that this condition cannot be weakened essentially. Finally, an explicit construction of quasiconformal extension is given.

Keywords

  • Convex Domain
  • Quasiconformal Mapping
  • Jordan Curve
  • Positive Real Part
  • Quasiconformal Extension

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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© 1983 Springer-Verlag Berlin Heidelberg

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Krzyż, J.G., Soni, A.K. (1983). Close-to-convex functions with quasiconformal extension. In: Ławrynowicz, J. (eds) Analytic Functions Błażejewko 1982. Lecture Notes in Mathematics, vol 1039. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073373

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  • DOI: https://doi.org/10.1007/BFb0073373

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12712-3

  • Online ISBN: 978-3-540-38697-1

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