On the Recurrence Coefficients for Generalized q-Laguerre Polynomials |
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| Authors: | Galina Filipuk |
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| Affiliation: | 1. Faculty of Mathematics, Informatics and Mechanics, University of Warsaw,Banacha 2 Warsaw, 02-097, Poland filipuk@mimuw.edu.pl |
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| 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. |
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| Keywords: | Orthogonal polynomials discrete Painleve equations |
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