多项式的系数乘子(英文)

Coefficient Multipliers for Polynomials

设Qn 表示在单位圆盘内不取零值 ,并且满足degp≤n ,p( 0 ) =1的多项式 p(z)的全体 ,又设Wn 表示满足degs≤n并且对每一个 p∈Qn,s p∈Qn 的多项式s(z)的全体 ,其中 表示Hadamard乘积 .Qn 和Wn

Let Q n denote the class of all polynomials p(z) nonvanishing in the unit disk with deg p≤n and p (0)=1, and let W n denote the class of all polynomials s(z) satisfying deg s≤n and for all p∈Q n, s*p∈Q n , where * denotes the Hadamard product. Some properties for W n and Q n are obtained.