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Advisor(s)
Abstract(s)
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.
Description
Keywords
Orthogonal polynomials on the real line Riccati differential equation Semi-classical functionals Classical orthogonal polynomials
Citation
A. Branquinho, A. Foulquie-Moreno, A. Paiva, and M.N. Rebocho, Second- order differential equations in the Laguerre-Hahn class, Applied Numerical Mathematics 94 (2015), 16-32