|Date||November 11-13, 2013|
|Location||SR 207 (3:45-4:45 pm)|
Professor Robert Milson, from the Department of Mathematics at Dalhousie University in Halifax, Nova Scotia will be giving a colloquium lecture on November 13 at 3:45 pm in SR 207. A reception for Dr. Milson will take place prior to the lecture in SR 318 at 3:15 pm. All faculty and students are welcome to attend.
The title and abstract for Dr. Milson's lecture are:
Title: Exceptional Hermite Polynomials
Abstract: Exceptional orthogonal polynomials (so named because they span a non-standard polynomial flag) are defined as polynomial eigenfunctions of Sturm-Liouville problems. By allowing for the possibility that the resulting sequence of polynomial degrees admits a number of gaps, we extend the classical families of Hermite, Laguerre and Jacobi. In recent years the role of the Darboux (or the
factorization) transformation has been recognized as essential in the theory of orthogonal polynomials spanning a non-standard flag. In this talk we will focus on exceptional Hermite polynomials: their regularity properties, asymptotics of zeros and their relation to the recent conjecture that ALL exceptional orthogonal polynomials are related via factorization transformations to classical orthogonal polynomials.
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