On close-to-convex harmonic mappings

被引：18
|
作者：
Bshouty, D. [1 ]
Joshi, S. S. [2 ]
Joshi, S. B. [2 ]
机构：
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
[2] Walchand Coll Engn, Dept Math, Sangli 416415, India
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2013年 / 58卷 / 09期
关键词：
convex functions; close-to-convex functions; planar harmonic mappings;
D O I：
10.1080/17476933.2011.647002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We continue to investigate the relation of close-to-convex harmonic mappings versus their analytic counterpart. Our starting point is the investigation initiated by Clunie and Sheil-Small [J. Clunie and T. Sheil-Small, Harmonic univalent mappings, Ann. Acad. Sci. Fenn. Ser. A.I. Math. 9 (1984), pp. 3-25] and further developments by Chuaqui and Hernandez [M. Chuaqui and R. Hernandez, Univalent harmonic mappings and linearly connected domains, J. Math. Anal. Appl. 332 (2007), pp. 1189-1194], and Bshouty and Lyzzaik [D. Bshouty and A. Lyzzaik, Close-to-convexity criteria for planar harmonic mappings, Complex Anal. Oper.Theory (to appear)].
引用
收藏
页码：1195 / 1199
页数：5
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