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Advisor(s)
Abstract(s)
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 .
Description
Keywords
Orthogonal polynomials Stieltjes functions Riccati differential equation Discrete Painlev´e equations
Pedagogical Context
Citation
G. Filipuk and M.N. Rebocho, Discrete Painlevé Equations for Recurrence Coefficients of Laguerre-Hahn Orthogonal Polynomials of Class One, Integral Transforms and Special Functions 27, no.7 (2016) 548-565