A Necessary and Sufficient Condition for Nonnegative Product Linearization of Orthogonal Polynomials

被引：0
|
作者：
Ryszard Szwarc
机构：
[1] Institute of Mathematics,
[2] Wroclaw University,undefined
[3] pl. Grunwaldzki 2/4 50–384 Wroclaw,undefined
来源：
Constructive Approximation | 2003年 / 19卷
关键词：
Orthogonal polynomials; Recurrence relation; Nonnegative linearization; Discrete boundary value problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A necessary and sufficient condition for nonnegative product linearization of an orthogonal polynomial system is derived. The method goes through a discrete hyperbolic boundary value problem associated with the three-term recurrence relation. The paper provides a unified approach to nonnegative linearization problems that comprises results obtained earlier and gives new ones.
引用
收藏
页码：565 / 573
页数：8
相关论文
共 50 条
12345