积分算子Lc(f)在几类解析函数中的性质  

Integral operator Lc(f)and its propertiesin some kinds of analytic functions

作　　者：童东付[1] 王兵贤 TONG Dong-fu;WANG Bing-xian(School of Mathematics and Statistics,Huaiyin Normal University,Huaian 223300,Jiangsu,China)

机构地区：[1]淮阴师范学院数学与统计学院,江苏淮安223300

出　　处：《西北师范大学学报（自然科学版）》2020年第2期26-28,共3页Journal of Northwest Normal University(Natural Science)

基　　金：江苏省高校自然科学基金面上项目(18KJD110002)。

摘　　要：一些解析函数子类及其经典性质都是由Carlson-Shaffer算子、Ruscheweyh导数算子、Noor积分算子等线性算子在单位圆内通过Hadamard乘积或卷积来定义并系统研究的.利用n阶Noor算子I n刻划了四类解析函数的新子类S*n(γ),C n(γ),K n(β,γ),K*n(β,γ),给出了积分算子L c(f)的定义,并讨论了L c(f)在这四类函数类中的性质.Some interesting subclasses of analytic functions are defined by linear operators such as Carlson-Shaffer operator,Rucheweyh derivative operator,Noor integral operator in unit circle through Hadamard product or convolution,and their classical properties are systematically studied.The new subclasses of four kinds of analytic functions S*n(γ),C n(γ),K n(β,γ),K*n(β,γ)are described by using I n operators.The definition of integral operator L c(f)is given,and its properties in these four kinds of function classes are discussed.

关 键 词：积分算子 解析函数 星形函数 凸函数 拟凸函数 

分 类 号：O174[理学—数学]