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Linear connectivity, Schwarz-Pick lemma and univalency criteria for planar harmonic mappings

Published 16 Apr 2014 in math.CV | (1404.4155v1)

Abstract: In this paper, we first establish the Schwarz-Pick lemma of higher-order and apply it to obtain a univalency criteria for planar harmonic mappings. Then we discuss distortion theorems, Lipschitz continuity and univalency of planar harmonic mappings defined in the unit disk with linearly connected images.

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