摘要
本文引进新的函数类G(p,α,β),给出积分表达式、偏差定理、系数估计和充分必要条件等。最后,还给出包含关系G(p,α+1,β)(?)G(p,α,β)和一类积分算子F(z)=(p+c)z^(-c) integral from n=0 to z t^(c-1)f(t)dt的不变性质。当参数改变时,可以得到前人的一些结果。
This paper introduces a new class of functions G(p, α, β). The integral formula, some distortion theorems, coefficient estimates, sufficient and necessary conditions and the inclusion ralation G(p,α+1,β)(?)G(p,α,β) are given. The property of the integral operator is also studied.
F(z)=(p+c)z^(-c)integral from n=0 to z t^(c-t)f(t)dt
关键词
P叶函数
负系数
分数阶微分
P-valent functions of negative coefficient, haramard product, close-convexity functions, fractional calculus
