文章基本信息

标题：Some Properties and Regions of Variability of Affine Harmonic Mappings and Affine Biharmonic Mappings
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作者：Sh. Chen ; S. Ponnusamy ; X. Wang 等
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2009
卷号：2009
DOI：10.1155/2009/834215
出版社：Hindawi Publishing Corporation
摘要：We first obtain the relations of local univalency, convexity, and linear connectedness between analytic functions and their corresponding affine harmonic mappings. In addition, the paper deals with the regions of variability of values of affine harmonic and biharmonic mappings. The regions (their boundaries) are determined explicitly and the proofs rely on Schwarz lemma or subordination.