%0 Journal Article
%T Convex combinations of harmonic shears of slit mappings
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Shi, L.
%A Wang, Z.-G.
%A Rasila, A.
%A Sun, Y.
%D 2017
%\ 10/31/2017
%V 43
%N 5
%P 1495-1510
%! Convex combinations of harmonic shears of slit mappings
%K Harmonic mapping
%K slit mapping
%K convex combination
%K shear construction
%R
%X 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.
%U http://bims.iranjournals.ir/article_1046_c2564c5c47e770c3777a5cef16455c1e.pdf