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

被引：0
|
作者：
Kathy Driver
Kerstin Jordaan
机构：
[1] University of Cape Town,Department of Mathematics and Applied Mathematics
[2] University of Pretoria,Department of Mathematics and Applied Mathematics
来源：
Numerische Mathematik | 2007年 / 107卷
关键词：
33C05; 30C15;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：615 / 624
页数：9
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