SEMINARIO DE FISICA TEORICA I Y II

Titulo:          Neoclassical orthogonal polynomials 
Conferenciante: David Gómez-Ullate   (UCM)
Dia y hora:     15, 14:30 (Aula 12)

Resumen:

The classical orthogonal polynomial systems (OPS) of Jacobi, Laguerre and Hermite are traditionally characterized as (the only) polynomial solutions of a Sturm-Liouville problem, after the classical results of Bochner and Lesky.
We show that other complete Sturm-Liouville OPS exist if the sequence of polynomial eigenfunctions is not required to start with a constant.
In this talk we will introduce these polynomial families and study some of their basic properties, which closely resemble those of the clasical families.
This is joint work with Niky Kamran (Mc Gill) and Robert Milson (Dalhousie).