Combinatorics Seminar 2015

Speaker: Hiroshi Miki (三木啓司), Doshisha University

Date: Fri, Nov 27, 2015

Time: 14:00 - 15:00

Venue: Middle Meeting Room

Title: Exceptional orthogonal polynomials: recurrence formula and classicality


Exceptional orthogonal polynomials (EOPs) are introduced as a generalization of classical orthogonal polynomials (COPs). EOPs satisfy second-order differential equations and orthogonality relation although their several degrees are missing. EOPs are no longer COPs and hence they do not hold the properties as three term recurrence formula, classicality and so on. In this talk, I will review EOPs and discuss their properties.