Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one
G Filipuk, MN Rebocho - Integral Transforms and Special Functions, 2016 - Taylor & Francis
In this paper we study recurrences for Laguerre–Hahn orthogonal polynomials of class one.
It is shown for some families of such Laguerre–Hahn polynomials that the coefficients of the
three term recurrence relation satisfy some forms of discrete Painlevé equations, namely d
PI and d PIV.
It is shown for some families of such Laguerre–Hahn polynomials that the coefficients of the
three term recurrence relation satisfy some forms of discrete Painlevé equations, namely d
PI and d PIV.
Discrete Painlevé Equations for Recurrence Coefficients of Laguerre-Hahn Orthogonal Polynomials of Class One
MN Rebocho, G Filipuk - ubibliorum.ubi.pt
In this paper we study recurrences for Laguerre-Hahn orthogonal polynomials of class one.
It is shown for some families of such Laguerre-Hahn polynomials that the coefficients of the
three term recurrence relation satisfy some forms of discrete Painlevé equations, namely,
dPI and dPIV.
It is shown for some families of such Laguerre-Hahn polynomials that the coefficients of the
three term recurrence relation satisfy some forms of discrete Painlevé equations, namely,
dPI and dPIV.
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