Event: Recent Trends in Constructive Approximation Theory (IWOP'06)
Venue: Leganés, Spain
It is well known that the classical families of orthogonal polynomials are characterized as eigenfunctions of a second order linear differential/difference operator with polynomial coefficients.
In this talk we present a study of classical orthogonal polynomials in a more general framework by using the differential (or difference) calculus and Operator Theory. In such a way we obtain a unified representation of them. Furthermore, some well known results related to the Rodrigues Operator are presented.
A more general Characterization Theorem for the q-polynomials of the q-Askey and Hahn Tableaux, respectively, is established.
Finally, the families of Askey-Wilson polynomials, q-Racah polynomials, Al-Salam & Carlitz I and II, and q-Meixner are considered.
|T5_SICM06.pdf||284 KB||Slides (PDF, 22 pages, 18 slides)|