On close-to-convex harmonic mappings
On close-to-convex harmonic mappings
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DOI：
10.1080/17476933.2011.647002
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发表时间：
2013-09
影响因子：
0.9
通讯作者：
D. Bshouty;S. S. Joshi-S.;S. Joshi
中科院分区：
文献类型：
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作者：
D. Bshouty;S. S. Joshi-S.;S. Joshi
我们继续研究近凸调和映射与其解析映射之间的关系。我们的起点是Clunie和Sheil-Small[J.Clunie和T.Sheil-Small，调和单价映射，Ann]发起的调查。阿卡德。SCI。芬恩。先生。人工智能数学。9(1984)，pp.3-25]以及Chuaqui和Hernandez的进一步发展[M.Chuaqui和R.Hernandez，单叶调和映射和线性连通区域，J.Math。肛门。APPL332(2007)，pp.1189-1194]，以及Bshouty和Lyzzaik[D.Bshouty和A.Lyzzaik，平面调和映射的接近凸性准则，复数肛门.歌剧.理论(待发表)]。
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)].