Asymptotics of Zeros of Relativistic Hermite Polynomials

Matthew He; K. Pan; Paolo E. Ricci

doi:10.1137/S003614109529642X

Asymptotics of Zeros of Relativistic Hermite Polynomials

Matthew He
, K. Pan
, Paolo E. Ricci

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	American English
Pages (from-to)	1248 - 1257
Journal	SIAM Journal on Mathematical Analysis
Volume	28
Issue number	5
DOIs	https://doi.org/10.1137/S003614109529642X
State	Published - Sep 1 1997

Keywords

Hermite polynomials
Orthogonal polynomials

Disciplines

Mathematics

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Asymptotics of Zeros of Relativistic Hermite PolynomialsFinal published version, 283 KBLicense: Unspecified

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@article{8e402f45be844b08b29413808d9717f4,

title = "Asymptotics of Zeros of Relativistic Hermite Polynomials",

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.",

keywords = "Hermite polynomials, Orthogonal polynomials",

author = "Matthew He and K. Pan and Ricci, \{Paolo E.\}",

year = "1997",

month = sep,

day = "1",

doi = "10.1137/S003614109529642X",

language = "American English",

volume = "28",

pages = " 1248 -- 1257",

journal = "SIAM Journal on Mathematical Analysis",

issn = "0036-1410",

publisher = "Society for Industrial and Applied Mathematics Publications",

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TY - JOUR

T1 - Asymptotics of Zeros of Relativistic Hermite Polynomials

AU - He, Matthew

AU - Pan, K.

AU - Ricci, Paolo E.

PY - 1997/9/1

Y1 - 1997/9/1

N2 - 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.

AB - 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.

KW - Hermite polynomials

KW - Orthogonal polynomials

UR - https://nsuworks.nova.edu/math_facarticles/181

U2 - 10.1137/S003614109529642X

DO - 10.1137/S003614109529642X

M3 - Article

SN - 0036-1410

VL - 28

SP - 1248

EP - 1257

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 5

ER -

Asymptotics of Zeros of Relativistic Hermite Polynomials

Abstract

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