标题:
单叶双调和映射类A Class of Univalent Biharmonic Mappings
作者:
乔金静, 王超
关键字:
单叶双调和映射, 星形性, 凸性 Univalent Biharmonic Mapping; Starlikeness; Convexity
期刊名称:
《Pure Mathematics》, Vol.3 No.4, 2013-07-18
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。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.