Laurent 多项式及其零点

Orthogonal Laurent Polynomials and Their Zeros

中文关键词:  Laurent多项式  求积公式  Laurent多项式的零点.

英文关键词:orthogonal Laurent polynomials  quadrature rule  zeros of orthogonal Laurent polynomials.

中文摘要:

      本文给出了测度 $d\psi$ 为强分布的一个必要条件, 并得到了$d\psi$ 为强分布时的 Laurent 多项式最大零点的一个表示.

英文摘要:

      In this note, we investigate the necessity for the measure $d\psi$ being a strong distribution, which is associated with the coefficients of the recurrence relation satisfied by the orthogonal Laurent polynomials. We also give out a representation of the greatest zeros of orthogonal Laurent polynomials in the case of $d\psi$ being a strong distribution.