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Harmonic Univalent Mappings into a Half-Plane with Nonreal Vertical Slits

✍ Scribed by W. Majchrzak

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 174 KB
Volume: 255
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7251

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✦ Synopsis

A class of harmonic univalent mappings is constructed by applying the method of Clunie and Sheil-Small. These mappings, assuming their values in a half-plane with a vertical boundary, omit two vertical half-lines symmetric w.r.t. the real axis. Several basic properties are proved.