单叶双调和映射类  

A Class of Univalent Biharmonic Mappings

作　　者：乔金静[1] 王超[2] 

机构地区：[1]河北大学数学与计算机学院,保定 [2]保定市教师进修学校,保定

出　　处：《理论数学》2013年第4期282-288,共7页Pure Mathematics

基　　金：国家自然科学基金数学天元基金(No. 11226092);河北省自然科学基金青年科学基金(No. A2013201104)。

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.

关 键 词：单叶双调和映射 星形性 凸性 

分 类 号：O1[理学—数学]