文中基于解析函数族常有的性质,令Sp(n)是在单位开圆盘{z∶ │z│〈1}上的解析函数族,并构建新的p-叶负系数解析函数族Tp(n,λ,α,β),且Tp(n,λ,α,β)是Sp(n)的子族。再利用Owa 等人的研究结论和方法得到解析函数族Tp(n,λ,α,β)的系数估计、偏差定理、极值点、Hadamart乘积和积分算子等常有的解析性质。
In this paper, based on the generalizations of analytic functions, let Sp (n) be the class of functions which were univalent and analytic in the open unit disk {z∶ │z│〈1}. A new subclass Tp(n,λ,α,β) of Sp(n) is introduced.According to the conclusions obtained by Owa et al. we obtain some properties in Tp (n,λ,α,β), such as coefficient estimate, growth and distortion theorems, extreme point, Hadamart product, fractional calculus and so on.