Asymptotics of orthogonal polynomials via recurrence relations

X. S. Wang; R. Wong

doi:10.1142/S0219530512500108

Asymptotics of orthogonal polynomials via recurrence relations

X. S. Wang, R. Wong

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

17 Citations (Scopus)

Abstract

We use the Legendre polynomials and the Hermite polynomials as two examples to illustrate a simple and systematic technique on deriving asymptotic formulas for orthogonal polynomials via recurrence relations. Another application of this technique is to provide a solution to a problem recently raised by M. E. H. Ismail. © 2012 World Scientific Publishing Company.

Original language	English
Pages (from-to)	215-235
Journal	Analysis and Applications
Volume	10
Issue number	2
DOIs	https://doi.org/10.1142/S0219530512500108
Publication status	Published - Apr 2012

Research Keywords

Asymptotics
Hermite polynomials
Legendre polynomials
orthogonal polynomials
recurrence relation

Access Output

10.1142/S0219530512500108

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{b8e8353993c544329ea7d8d853c2eb19,

title = "Asymptotics of orthogonal polynomials via recurrence relations",

abstract = "We use the Legendre polynomials and the Hermite polynomials as two examples to illustrate a simple and systematic technique on deriving asymptotic formulas for orthogonal polynomials via recurrence relations. Another application of this technique is to provide a solution to a problem recently raised by M. E. H. Ismail. {\textcopyright} 2012 World Scientific Publishing Company.",

keywords = "Asymptotics, Hermite polynomials, Legendre polynomials, orthogonal polynomials, recurrence relation",

author = "Wang, {X. S.} and R. Wong",

year = "2012",

month = apr,

doi = "10.1142/S0219530512500108",

language = "English",

volume = "10",

pages = "215--235",

journal = "Analysis and Applications",

issn = "0219-5305",

publisher = "World Scientific",

number = "2",

}

TY - JOUR

T1 - Asymptotics of orthogonal polynomials via recurrence relations

AU - Wang, X. S.

AU - Wong, R.

PY - 2012/4

Y1 - 2012/4

N2 - We use the Legendre polynomials and the Hermite polynomials as two examples to illustrate a simple and systematic technique on deriving asymptotic formulas for orthogonal polynomials via recurrence relations. Another application of this technique is to provide a solution to a problem recently raised by M. E. H. Ismail. © 2012 World Scientific Publishing Company.

AB - We use the Legendre polynomials and the Hermite polynomials as two examples to illustrate a simple and systematic technique on deriving asymptotic formulas for orthogonal polynomials via recurrence relations. Another application of this technique is to provide a solution to a problem recently raised by M. E. H. Ismail. © 2012 World Scientific Publishing Company.

KW - Asymptotics

KW - Hermite polynomials

KW - Legendre polynomials

KW - orthogonal polynomials

KW - recurrence relation

UR - http://www.scopus.com/inward/record.url?scp=84859120343&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84859120343&origin=recordpage

U2 - 10.1142/S0219530512500108

DO - 10.1142/S0219530512500108

M3 - RGC 21 - Publication in refereed journal

SN - 0219-5305

VL - 10

SP - 215

EP - 235

JO - Analysis and Applications

JF - Analysis and Applications

IS - 2

ER -

Asymptotics of orthogonal polynomials via recurrence relations

Abstract

Research Keywords

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Cite this