Asymptotics of the zeros of relativistic hermite polynomials

被引：2
|
作者：
He, M
Pan, K
Ricci, PE
机构：
[1] BARRY UNIV,DEPT MATH & COMP SCI,MIAMI SHORES,FL 33161
[2] UNIV ROMA LA SAPIENZA,DIPARTIMENTO MATEMAT G CASTELNUOVO,I-00185 ROME,ITALY
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1997年 / 28卷 / 05期
关键词：
hermite polynomials; orthogonal polynomials; HARMONIC-OSCILLATOR; NORM; LIVE;
D O I：
10.1137/S003614109529642X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The relativistic Hermite polynomial (RHP) is a class of orthogonal polynomials associated with varying weights. We study the asymptotics of the zeros of the RHP when both degree n of polynomials and relativistic parameter N approach infinity.
引用
收藏
页码：1248 / 1257
页数：10
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