Event: 10Th Orthogonal Polynomials, Special Functions and Applications
Venue: Katholieke Universiteit Leuven, Belgium
It is well-known that the family of Hahn polynomials is orthogonal with respect to certain weight function up to degree N. In this talk we prove, by using the tree-term recurrence relation which this family satisfies, that the Hahn polynomials can be characterized by a ∆-Sobolev orthogonality for every n and present a factorization for Hahn polynomials for a degree higher than N.
We also present analogous results for dual-Hahn, Krawtchouk, and Racah polynomials and give the limit relations between them for all positive integer n. Furthermore, in order to get this results for the Krawtchouk polynomials we will get a more general property of orthogonality for Meixner polynomials.
|T8_OPSFA09.pdf||627 KB||Slides (PDF, 51 pages, 16 slides)|