Interlacing of zeros of shifted sequences of one-parameter orthogonal polynomials

被引：23

作者：

Driver, Kathy

Jordaan, Kerstin ^{[1
]}

机构：

[1] Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa

[2] Univ Cape Town, Dept Math & Appl Math, ZA-7701 Cape Town, South Africa

来源：

NUMERISCHE MATHEMATIK | 2007年 / 107卷 / 04期

关键词：

D O I：

10.1007/s00211-007-0100-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the interlacing property of zeros of Laguerre polynomials of adjacent degree, where the free parameters differ by an integer, and of the same degree, where the free parameter is shifted continuously. Similar interlacing results are proven for the positive zeros of Gegenbauer polynomials.

引用

页码：615 / 624

页数：10

共 16 条

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