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

页码：1248 / 1257

页数：10

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