Publication : t01/092
A concise expression for the ODEs of orthogonal polynomials
Eynard B. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)Abstract:Revue : Lett. Math. Phys. (submitted)
It is known that orthogonal polynomials obey a 3 terms recursion relation, as well as a 2x2 differential system. Here, we give an explicit representation of the differential system in terms of the recursion coefficients. This result is a generalization of an expression of Fokas, Its and Kitaev for the symmetric case.
Preprint : arXiv:math-ph/0109018
Numéro Exterieur : CRM-2755
Langue : Anglais
Fichier(s) à télécharger :
publi.pdf
