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.
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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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