| Nome: | Descrição: | Tamanho: | Formato: | |
|---|---|---|---|---|
| 213.76 KB | Adobe PDF |
Orientador(es)
Resumo(s)
Matrix Sylvester differential equations are introduced in the study of
Laguerre-Hahn orthogonal polynomials. Matrix Sylvester differential systems are
shown to yield representations for the Laguerre-Hahn orthogonal polynomials. Lax
pairs are given, formed from the differential system and the recurrence relation, that
yield discrete non-linear equations for the three term recurrence relation coefficients
of the Laguerre-Hahn orthogonal polynomials.
Descrição
Palavras-chave
Orthogonal polynomials on the real line Stieltjes function Riccati differential equation Matrix Sylvester differential equations
Contexto Educativo
Citação
A. Branquinho, A. Paiva, and M.N. Rebocho, Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line, Applied Mathematics and Computation 219 (17) (2013), 9118-9131.