Exceptional Orthogonal Polynomials: Global solutions of a second order Fuchsian equation with 3+j regular singularities

by Prof. Ryu Sasaki (Kyoto University, Japan)

Monday 14 Feb 2011, 15:00 → 16:00 Europe/Rome

Aula Careri (Dipartimento di Fisica - Ed. G. Marconi)

Global solutions of Fuchsian differential equations with more than 3 (hypergeometric) or four (Heun) regular singularities had been virtually unkown. Here I present a complete set of eigenfunctions of a Schroedinger equation with $3 +j (j = 1,2,...) regular singularities.