受限于凸函数的两类解析函数族  

Two subclasses of analytic functions defined by convex functions

作　　者：熊良鹏[1] 田琳[1] 刘晓丽[1] 

机构地区：[1]成都理工大学工程技术学院,四川乐山614007

出　　处：《湖北大学学报（自然科学版）》2013年第1期45-47,共3页Journal of Hubei University：Natural Science

基　　金：成都理工大学工程技术学院科研发展基金(C122010003)资助

摘　　要：利用二阶Cauchy-Euler微分方程形式,定义和研究两类受限于凸函数,且在单位开圆盘Δ=z:z<{1}内解析的函数族ψa及Hψa,得到ψa和Hψa的全部系数估计结果.Two subclasses using Cauchy-Euler differential estimates for function in φa and Hφa and Hφa of analytic functions defined by convex function were given equation, and they were analytic on △-{z：｜z｜〈1}. The coefficient estimates for function in φa and Hφa were solved.

关 键 词：解析函数 凸函数 从属 微分方程 系数估计 

分 类 号：O174.51[理学—数学]