摘要
设n为正整数,用N_n表示在U={z:|z|<1}内解析,且具有以下展开式的全体函数:
Let n be a positive integer, U={z: |z|<1}, Let N be the class of analytic
functions of the form:
f(z)=z+α_(n+1)z^(n+1)+α(n+2)z^(n+2)+…, z∈U. Suposeα>0, ρ<1, λ<1, Let
S_n(ρ)={f. f∈N_n and Re(zf(z))/(f(z))>0, z∈U}
B_λ~n(α,ρ)={f. f∈N_n and there exits g∈S_n(ρ) such that Re {zf(z)/(f(z) (f(z)/(g(z)))~α}
>λ1, z∈U}
B_λ~n(α)={f.f∈N_n and Re {(zf(z)/f(z)) (f(z)/z)~α}>λ, z∈U}
in this article, we study the propertis of integral operators of the form
F(z)=[((β+γ)/z~γ)∫_0~zf(t)~αt^(δ-1)dt]^(1/β) (1)
with the function in some classes of analytic functions, for suitable choice of the constants
α, β, δand γ.
出处
《纯粹数学与应用数学》
CSCD
1990年第2期87-88,共2页
Pure and Applied Mathematics
