Asymptotics of Pseudo‐Jacobi Polynomials with Varying Parameters. Issue 1 (13th June 2017)
- Record Type:
- Journal Article
- Title:
- Asymptotics of Pseudo‐Jacobi Polynomials with Varying Parameters. Issue 1 (13th June 2017)
- Main Title:
- Asymptotics of Pseudo‐Jacobi Polynomials with Varying Parameters
- Authors:
- Song, Z.
Wong, R. - Abstract:
- Abstract : In this paper, we study the asymptotic behavior of the Pseudo‐Jacobi polynomials P n ( z ; a, b ) as n → ∞ for z in the whole complex plane. These polynomials are also known as the Romanovski–Routh polynomials. They occur in quantum mechanics, quark physics, and random matrix theory. When the parameter a is fixed or a > − n, there is no real‐line orthogonality. Here, we consider the case when the parameters a and b depend on n ; more precisely, we assume a = − ( A n + A 0 ), A > 1 and b = B n + B 0, where A, B, A 0, B 0 are real constants. Our main tool is the asymptotic method developed for differential equations with a large parameter.
- Is Part Of:
- Studies in applied mathematics. Volume 139:Issue 1(2017)
- Journal:
- Studies in applied mathematics
- Issue:
- Volume 139:Issue 1(2017)
- Issue Display:
- Volume 139, Issue 1 (2017)
- Year:
- 2017
- Volume:
- 139
- Issue:
- 1
- Issue Sort Value:
- 2017-0139-0001-0000
- Page Start:
- 179
- Page End:
- 217
- Publication Date:
- 2017-06-13
- Subjects:
- Mathematics -- Periodicals
Mathématiques -- Périodiques
Mathématique
Mathématique appliquée
Ressource Internet (Descripteur de forme)
Périodique électronique (Descripteur de forme)
519 - Journal URLs:
- http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9590 ↗
http://www.ingentaconnect.com/content/bpl/sapm ↗
http://onlinelibrary.wiley.com/ ↗
http://firstsearch.oclc.org ↗
http://firstsearch.oclc.org/journal=0022-2526;screen=info;ECOIP ↗ - DOI:
- 10.1111/sapm.12177 ↗
- Languages:
- English
- ISSNs:
- 0022-2526
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 8489.480000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 290.xml