Sylvester equations for LaguerreaHahn orthogonal polynomials on the real line

Sylvester equations for LaguerreaHahn orthogonal polynomials on the real line

Matrix Sylvester differential equations are introduced in the study of LaguerreaHahn orthogonal polynomials. Matrix Sylvester differential systems are shown to yield representations for the LaguerreaHahn orthogonal polynomials. Lax pairs are given, formed from the differential system and the recurre...

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Veröffentlicht in:Applied mathematics and computation 2013-05, Vol.219 (17), p.9118-9131
Hauptverfasser: Branquinho, A, Paiva, A, Rebocho, M N
Format: Artikel
Sprache:eng
Schlagworte:
Computation
Differential equations
Mathematical analysis
Mathematical models
Nonlinearity
Representations
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Zusammenfassung:Matrix Sylvester differential equations are introduced in the study of LaguerreaHahn orthogonal polynomials. Matrix Sylvester differential systems are shown to yield representations for the LaguerreaHahn 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 LaguerreaHahn orthogonal polynomials.
ISSN:0096-3003