Distribution of the zeros of Jacobi polynomials associated with varying weights

被引：0

作者：

He, M ^{[1
]}

Pan, V ^{[1
]}

机构：

[1] Nova SE Univ, Dept Math, Ft Lauderdale, FL 33314 USA

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 1999年 / 202卷

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new class of Jacobi polynomials orthogonal with respect to certain varying weights. Using the WKB(Wenttzel-Kramers-Brillouin) approximation method, we analyze the distribution of the zeros of the polynomials. Furthermore, we determine explicitly the asymptotic behavior of the zeros when both degree n of polynomials and a relativistic parameter N approach infinity using potential theory techniques.

引用

页码：191 / 201

页数：11