Journal of Nonlinear Mathematical Physics

Volume 20, Issue Supplement 1, November 2013, Pages 48 - 56

On the Recurrence Coefficients for Generalized q-Laguerre Polynomials

Authors
Galina Filipuk
Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha 2 Warsaw, 02-097, Poland,filipuk@mimuw.edu.pl
Christophe Smet
Department of Mathematics, Katholieke Universiteit Leuven Celestijnenlaan 200B box 2400 Leuven, BE-3001, Belgium,chr.smet@gmail.com
Received 31 May 2012, Accepted 27 May 2013, Available Online 6 January 2021.
DOI
10.1080/14029251.2013.862431How to use a DOI?
Keywords
Orthogonal polynomials; discrete Painleve equations
Abstract

In this paper we consider a semi-classical variation of the weight related to the q-Laguerre polynomials and study their recurrence coefficients. In particular, we obtain a second degree second order discrete equation which in particular cases can be reduced to either the qPV or the qPIII equation.

Copyright
© 2013 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
20 - Supplement 1
Pages
48 - 56
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2013.862431How to use a DOI?
Copyright
© 2013 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Galina Filipuk
AU  - Christophe Smet
PY  - 2021
DA  - 2021/01/06
TI  - On the Recurrence Coefficients for Generalized q-Laguerre Polynomials
JO  - Journal of Nonlinear Mathematical Physics
SP  - 48
EP  - 56
VL  - 20
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2013.862431
DO  - 10.1080/14029251.2013.862431
ID  - Filipuk2021
ER  -