• Pascal MARONI

Code(s) de Classification MSC:

• 42C05 Orthogonal functions and polynomials, general theory, See also {33A65, 33C45, 33C50, 33D45}

Résumé: On développe une théorie des
relations de type fini entre deux suites de polynômes,
qui comprend les suites semi-classiques et en
particulier les paires cohérentes. On donne de nouvelles
caractérisations des suites 2-orthogonales
"classiques" à l'aide de certaines relations de type
fini.


Abstract: A theory of finite-type
relations between polynomials sequences is developed.
This theory contains semi-classical sequences and, in
particular, the so-called coherent pairs. Finite-type
relations are used for giving new characterizations of
2-orthogonal ``classical'' sequences.

Mots Clés: polynômes orthogonaux

Date: 1999-01-01