Title of article
Convex combinations of harmonic shears of slit mappings
Author/Authors
Shi ، L. - Anyang Normal University , Wang ، Z.-G. - Hunan First Normal University , Rasila ، A. - Aalto University , Sun ، Y. - Hunan Institute of Engineering
Pages
16
From page
1495
To page
1510
Abstract
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.
Keywords
Harmonic mapping , slit mapping , convex combination , shear construction.
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2017
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2456102
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