设A_(p,n)(p,n是正整数)表示单位开圆盘U={z:|z|<1}内形为f(z)=z^p+sum(a_kz^k)from k=p+n to ∞的解析函数类.引进A_(p,n)的子类H_(p,n)(A,B,α,λ),导出一些有趣的性质,研究类H_(p,n)(A,B,α,1)中函数的p叶近于凸性和p叶星形性.
In this paper,we continue to study the normality of a family of meromorphic functions without simple zeros and simple poles such that their derivatives omit a given holomorphic function.Such a family in general is not normal at the zeros of the omitted function.Our main result is the characterization of the non-normal sequences,and hence some known results are its corollaries.
