用Ruscheweyh导数定义的一类p叶解析函数  

A subclass of p-valent analytic functions defined by Ruscheweyh derivatives

作　　者：施冬芳[1] 

机构地区：[1]扬州大学数学科学学院,江苏扬州225002

出　　处：《山东理工大学学报（自然科学版）》2007年第6期15-18,共4页Journal of Shandong University of Technology:Natural Science Edition

摘　　要：利用Ruscheweyh导数算子引进了单位圆盘内解析函数的一个新子类,给出了函数属于函数类的两个充要条件,并考虑了近于凸函数、星象函数和凸函数半径.By means of Ruscheweyh derivatives, a new subclass of p-valent analytic functions was introduced. Two necessary and sufficient conditions were obtained. The radius of closeto-convex functions ,starlike functions, convex functions were also considered.

关 键 词：解析函数 Ruscheweyh导数 近于凸函数 星象函数 凸函数 

分 类 号：O174.51[理学—数学]