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/).
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 -