27 citations · 60 across the 15 of their papers we have counts for
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math.CV2006
Univalence Criteria for Lifts of Harmonic Mappings to Minimal Surfaces
M. Chuaqui, P. Duren, B. Osgood
A general criterion in terms of the Schwarzian derivative is given for global univalence of the Weierstrass--Enneper lift of a planar harmonic mapping. Results on distortion and bo…
math.CV2006★ 27 cited
Schwarzian Derivative Criteria for Valence of Analytic and Harmonic Mappings
M. Chuaqui, P. Duren, B. Osgood
For analytic functions in the unit disk, general bounds on the Schwarzian derivative in terms of Nehari functions are shown to imply uniform local univalence and in some cases fini…