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Mapping of a half-plane onto a polygon with infinitely many vertices

โœ Scribed by R. B. Salimov; P. L. Shabalin

Book ID
111503389
Publisher
Allerton Press, Inc.
Year
2009
Tongue
English
Weight
534 KB
Volume
53
Category
Article
ISSN
1066-369X

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๐Ÿ“œ SIMILAR VOLUMES

Harmonic Univalent Mappings into a Half-
Harmonic Univalent Mappings into a Half-Plane with Nonreal Vertical Slits
โœ W. Majchrzak ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 174 KB

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.