Interlacing of the zeros of Jacobi polynomials with different parameters

被引：28
|
作者：
Driver, Kathy [2 ]
Jordaan, Kerstin [1 ]
Mbuyi, Norbert [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：
NUMERICAL ALGORITHMS | 2008年 / 49卷 / 1-4期
基金：
新加坡国家研究基金会;
关键词：
Interlacing zeros of Jacobi polynomials; Separation results; Contiguous hypergeometric polynomials; 33C45; 42C05;
D O I：
10.1007/s11075-008-9162-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove results for the interlacing of zeros of Jacobi polynomials of the same or adjacent degree as one or both of the parameters are shifted continuously within a certain range. Numerical examples are given to illustrate situations where interlacing fails to occur.
引用
收藏
页码：143 / 152
页数：10
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