单叶双调和映射类
A Class of Univalent Biharmonic Mappings
DOI: 10.12677/PM.2013.34043, PDF, HTML,    国家自然科学基金支持
作者: 乔金静*：河北大学数学与计算机学院；王 超：保定市教师进修学校
关键词: 单叶双调和映射；星形性；凸性； Univalent Biharmonic Mapping; Starlikeness; Convexity
摘要: 本文主要研究单位圆盘上单叶保向的双调和映射。作为星形双调和映射和凸双调和映射的推广，给出了一个单叶保向的双调和映射类，利用系数不等式给出了双调和映射属于的一个充分条件，且进一步证得此系数不等式是的具有负系数的子类的特征。
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. 单叶双调和映射类[J]. 理论数学, 2013, 3(4): 282-288. http://dx.doi.org/10.12677/PM.2013.34043

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