Convex combinations of harmonic shears of slit mappings
نویسندگان
چکیده مقاله:
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 potential applications of the main results.
منابع مشابه
Harmonic shears of slit and polygonal mappings
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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عنوان ژورنال
دوره 43 شماره 5
صفحات 1495- 1510
تاریخ انتشار 2017-10-31
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