Univalent harmonic exterior and ring mappings
β Scribed by Walter Hengartner; Glenn Schober
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 865 KB
- Volume
- 156
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
The class S H consists of harmonic, univalent, and sense-preserving functions f in the open unit disk U = z z < 1 , such that f = h + αΈ‘, where h z = z + β n=2 a n z n and g z = β n=1 a -n z n . Let S 0 H , C H , and C 0 H denote the subclass of S H with a -1 = 0, the subclass of S H with f being a c
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.