Title: Recurrence coefficients of generalized Meixner polynomials and Painlevé equations
Authors: Boelen, Lies
Filipuk, Galina ×
Van Assche, Walter #
Issue Date: Jan-2011
Publisher: Institute of Physics Publishing
Series Title: Journal of Physics A, Mathematical and Theoretical vol:44 issue:3 pages:035202
Article number: 035202
Abstract: We consider a semi-classical version of the Meixner weight depending on two parameters and the associated set of orthogonal polynomials. These polynomials satisfy a three-term recurrence relation. We show that the coefficients appearing in this relation satisfy a discrete Painlevé equation, which is a limiting case of an asymmetric dPIV equation. Moreover, when viewed as functions of one of the parameters, they satisfy one of Chazy’s second-degree
Painlevé equations, which can be reduced to the fifth Painlevé equation PV.
ISSN: 1751-8113
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Analysis Section
× corresponding author
# (joint) last author

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