Asymptotics of Zeros of Relativistic Hermite Polynomials

Authors

Matthew He, Nova Southeastern UniversityFollow
K. Pan, Barry University
Paolo E. Ricci, Universita degli Studi di Roma "La Sapienza"

Document Type

Article

Publication Date

9-1-1997

Publication Title

SIAM Journal on Mathematical Analysis

Keywords

Hermite polynomials, Orthogonal polynomials

ISSN

0036-1410

Volume

28

Issue/No.

5

First Page

1248

Last Page

1257

Abstract

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.

Comments

AMS subject classifications. 41A, 41C

NSUWorks Citation

He, Matthew; Pan, K.; and Ricci, Paolo E., "Asymptotics of Zeros of Relativistic Hermite Polynomials" (1997). Mathematics Faculty Articles. 181.
https://nsuworks.nova.edu/math_facarticles/181

DOI

10.1137/S003614109529642X