Univalence criteria depending on the Schwarzian derivative
نویسندگان
چکیده
منابع مشابه
Schwarzian Derivatives and Uniform Local Univalence
Quantitative estimates are obtained for the (finite) valence of functions analytic in the unit disk with Schwarzian derivative that is bounded or of slow growth. A harmonic mapping is shown to be uniformly locally univalent with respect to the hyperbolic metric if and only if it has finite Schwarzian norm, thus generalizing a result of B. Schwarz for analytic functions. A numerical bound is obt...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1979
ISSN: 0019-2082
DOI: 10.1215/ijm/1256048101