摘要
通过Hadamard卷积定义算子In+p-1,并利用其引进了新的解析函数类H(p,n,δ,A,B),研究了函数f(z)(f(z)∈Ap)属于函数类H(p,n,δ,A,B)的充分条件和部分和性质,同时还考虑了类H(p,n,δ,A,B)的卷积性质.
Using the operator In＋p-1,which is defined here by means of Hadamard product,we introduce a new class H（p,n,δ,A,B） of analytic functions in the open unit disk.The object of the paper is to derive the sufficient condition of f（z） belonging to class H（p,n,δ,A,B） and partial sums of analytic functions in class Ap.We also considered the convolution property of H（p,n,δ,A,B）.
出处
《大学数学》
2011年第2期57-61,共5页
College Mathematics
关键词
解析函数
微分从属
部分和
卷积
analytic function
differential subordination
partial sums
convolution
