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摘 要 利用Salagean算子定义了解析函数族（），以受限柯西—欧拉微分方程为基础，研究了类中函数的星型半径与凸半径问题。
关键词 星型半径 凸半径 柯西—欧拉微分方程
中图分类号：O174 文献标识码：A DOI：10.16400/j.cnki.kjdkx.2016.10.027
Study on the Starlike Radius and Convex Radius of a Class of Analytic Functions
LI Xia
（City College， Wuhan University of Science and Technology， Wuhan， Hubei 430083）
Abstract The analytic functions are defined by Salagean operator， and the radius of starlike and convex functions are determined based on the confined Cauchy-Euler differentiation equations.
Keywords starlike radius； convex radius； Cauchy-Euler differentiation equations
关键词 星型半径 凸半径 柯西—欧拉微分方程
中图分类号：O174 文献标识码：A DOI：10.16400/j.cnki.kjdkx.2016.10.027
Study on the Starlike Radius and Convex Radius of a Class of Analytic Functions
LI Xia
（City College， Wuhan University of Science and Technology， Wuhan， Hubei 430083）
Abstract The analytic functions are defined by Salagean operator， and the radius of starlike and convex functions are determined based on the confined Cauchy-Euler differentiation equations.
Keywords starlike radius； convex radius； Cauchy-Euler differentiation equations