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P. Duren

7 papers hereh-index 307.6k citations179 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • middle author7

Across the 7 of 7 papers where every author was matched, so the position is known.

fields
  • math.CV7

identity via Semantic Scholar / OpenAlex

activity
20062013
most citedSchwarzian Derivative Criteria for Valence of Analytic and Harmonic Mappings

27 citations · 30 across the 6 of their papers we have counts for

collaborators
Showing 2006 · math.CVShow all

2 papers · 2 filters

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…

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