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Computational Methods and Function Theory 4 (2004), No. 2, 435--446
Copyright Heldermann Verlag 2004

Local Decomposition of Planar Harmonic Mappings

Daoud Bshouty
daoud@techunix.technion.ac.il , Department of Mathematics, Technion, Haifa 32000, Israel.

Abdallah Lyzzaik
lyzzaik@aub.edu.lb , Department of Mathematics, American University of Beirut, Beirut, Lebanon.

[Abstract-pdf] [Abstract-ps]

A necessary and sufficient condition is given for a planar harmonic mapping f to be locally decomposable as a univalent harmonic mapping F of an analytic function φ.

Keywords: Harmonic functions, harmonic mappings, analytic functions, univalent functions, complex dilatation.

MSC 2000: Primary 30C99; Secondary 30C62, 31A05.

[FullText-pdf (250 K)] [FullText-ps (486 K)]