A New Class of Exceptional Orthogonal Polynomials: The Type III $X_m$-Laguerre Polynomials And The Spectral Analysis of Three Types of Exceptional Laguerre Polynomials

Constanze Liaw, Lance L. Littlejohn, Robert Milson +1

The Bochner Classification Theorem (1929) characterizes the polynomial sequences $\p_{n}\}_{n=0}^{\infty}$, with $\text{deg}{p}_n=n$ that simultaneously form a complete set of ei…