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Title: Second-order differential equations in the Laguerre-Hahn class
Author: Branquinho, A.
Moreno, A. Foulquié
Paiva, A.
Rebocho, M. N.
Keywords: Orthogonal polynomials on the real line
Riccati differential equation
Semi-classical functionals
Classical orthogonal polynomials
Issue Date: Aug-2015
Publisher: Elsevier
Abstract: Laguerre–Hahn families on the real line are characterized in terms of second-order differential equations with matrix coefficients for vectors involving the orthogonal polynomials and their associated polynomials, as well as in terms of second-order differential equation for the functions of the second kind. Some characterizations of the classical families are derived.
Peer review: yes
DOI: 10.1016/j.apnum.2015.03.002
ISSN: 0168-9274
Appears in Collections:CIDMA - Artigos
CHAG - Artigos

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