Classical orthogonal polynomials. A general difference calculus approach

Date: 2007.09..21
Event: Mathematics Department Colloquium
Venue: Mathematics Department Colloquium. College of William and Mary, USA

Abstract

It is well known that the classical families of orthogonal polynomials are characterized as eigenfunctions of a second order linear differential/difference operator. In this talk we present the essential part of the study of classical orthogonal polynomials in a more general context by using the differential (or difference) calculus and Operator Theory, and, in such a way, we obtain a unified representation of them.

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