A necessary and sufficient condition for nonnegative product linearization of orthogonal polynomials

被引：3

作者：

Szwarc, R ^{[1
]}

机构：

[1] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland

来源：

CONSTRUCTIVE APPROXIMATION | 2003年 / 19卷 / 04期

关键词：

orthogonal polynomials; recurrence relation; nonnegative linearization; discrete boundary value problem;

D O I：

10.1007/s00365-002-0524-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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

页码：565 / 573

页数：9

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