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Southeastern Analysis Meeting
March 5-9, 2008
Vanderbilt University
Nashville, Tennessee, USA

Organizers
Brett Wick, Daoxing Xia, Dechao Zheng

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Valence of Analytic and Harmonic Functions
by
Peter Duren
University of Michigan
Coauthors: Martin Chuaqui and Brad Osgood

Recently we have proposed a notion of Schwarzian derivative for complex-valued harmonic functions, extending the classical definition for analytic functions. Here we discuss criteria for univalence and estimates of valence, derived from bounds on the Schwarzian of a harmonic mapping. Some of the results appear to be new for analytic functions as well.

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Date received: February 20, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavq-65.