由Ruscheweyh导数定义的某些解析函数类  

Some Classes of Analytic Functions Defined by Ruscheweyh Derivatives

作　　者：朱玉灿[1] 

机构地区：[1]福州大学数学系

出　　处：《福州大学学报（自然科学版）》1997年第4期1-6,共6页Journal of Fuzhou University(Natural Science Edition)

基　　金：福建省自然科学基金

摘　　要：利用微分从属的方法，考虑某些由Ｒｕｓｃｈｅｗｅｙｈ导数定义的函数类Ｋδ．ｐ（ｈ）和ＫＳ＊δ．ｐ（α，ｈ）的性质，推广和改进了Ｏｂｒａｄｏｖｉｃ，Ｓｉｎｇ等人相应的结果．Let p be a positive integer and A(p) denotethe class of functions of the form f( z)=z P+∑∞n=p+1 a n z,which are analysed in the unit disk U={ z:|z |<1} . By using the method of differential subordinations we consider the properties the subclasses of A(p),K δ,p (h) and KS * δ+p (α+h) defined by Ruscheweyh derivatives D δ+p-1 f(z)=z p(1-z) δ+p *f (z) where “*” means the Hadamad product of two analytic functions. We extend and improve the results of Obradovic, Sing and others.

关 键 词：从属关系 Ruscheweyh导数 凸形函数 解析函数 

分 类 号：O174.55[理学—数学]