Harmonic Shears of Regular Polygons by Hypergeometric Functions
نویسندگان
چکیده
منابع مشابه
Involvement of Hypergeometric Functions in The Theory of Harmonic Functions
Harmonic univalent mappings have attracted the serious attention of complex analysts only after the appearance of a basic paper by Clunie and Sheil-Small [4] in 1984. These researchers laid the foundation for the study of harmonic univalent mappings over the unit disk as a generalization of analytic univalent functions. Interestingly, almost at the same time, the famous Bieberbach conjecture wh...
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In this paper, we study the convex combinations of harmonic mappings obtained by shearing a class of slit conformal mappings. Sufficient conditions for the convex combinations of harmonic mappings of this family to be univalent and convex in the horizontal direction are derived. Several examples of univalent harmonic mappings constructed by using these methods are presented to illustrate...
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Aalto University, P.O. Box 11000, FI-00076 Aalto www.aalto.fi Author Saminathan Ponnusamy, Tri Quach, Antti Rasila Name of the publication Harmonic shears of slit and polygonal mappings Publisher School of Science Unit Department of Mathematics and Systems Analysis Series Aalto University publication series SCIENCE + TECHNOLOGY 3/2012 Field of research Harmonic Shears of Slit and Polygonal Mapp...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1999
ISSN: 0022-247X
DOI: 10.1006/jmaa.1999.6544