Coefficient Conditions for Harmonic Univalent Mappings and Hypergeometric Mappings
Coefficient Conditions for Harmonic Univalent Mappings and Hypergeometric Mappings
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DOI：
10.1216/rmj-2014-44-3-753
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发表时间：
2011-09
期刊：
影响因子：
--
通讯作者：
S. V. Bharanedhar;S. Ponnusamy
中科院分区：
文献类型：
--
作者：
S. V. Bharanedhar;S. Ponnusamy
In this paper, we obtain coefficient criteria for a normalized harmonic function defined in the unit disk to be close-to-convex and fully starlike, respectively. Using these coefficient conditions, we present different classes of harmonic close-to-convex (resp. fully starlike) functions involving Gaussian hypergeometric functions. In addition, we present a convolution characterization for a class of univalent harmonic functions discussed recently by Mocanu, and later by Bshouty and Lyzzaik in 2010. Our approach provide examples of harmonic polynomials that are close-to-convex and starlike, respectively.
