一类P-叶解析函数的若干卷积性质(英文)

Some convolution properties for a class of P - Valent analytic functions

给出了单位圆盘U={z:|z|<1}上的P叶解析函数类P（p,α）（p∈N={1,2,…}α<p）的若干解析性质.此外,对于f∈P（p,α）证明了积分算子Jp,c（f）∈（p,β）,这里β=（2α-p）-（p-α）（c+p,c+p+1;-1）是严格的。

The authors obtain some convolution properties for the class P(p, α)(p∈N={1, 2,...},α<p) of P-valent analytic functions in the unit disc U={z:|z|< 1}. In addition, for f∈P(p, α), they prove the intergral operator Jp c(f)∈(p, β), where value β = (2α-p)-(p-α)(c + p, c + p; -1) is sharp.