A Class of Univalent Biharmonic Mappings
Abstract: The main aim of this paper is to discuss univalent sense-preserving biharmonic mappings in the unit disk. As a generalization of starlike biharmonic mappings and convex biharmonic mappings, a family of univalent sense-preserving biharmonic mappings is given, and it is also given a sufficient condition for a biharmonic mapping in by using a coefficients inequality. Moreover, it is proved that this coefficients inequality is a characterization of biharmonic mappings in the subclass of that with negative coefficients.
文章引用: 乔金静 , 王 超 (2013) 单叶双调和映射类。 理论数学， 3， 282-288. doi: 10.12677/PM.2013.34043
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