A new recurrence formula for generic exceptional orthogonal polynomials

Abstract

A new recurrence relation for exceptional orthogonal polynomials is proposed, which holds for type 1, 2 and 3. As concrete examples, the recurrence relations are given for Xj-Hermite, Laguerre and Jacobi polynomials in j = 1,2 case.

17 pages, 4 figures

References in corpus (2)

• Infinitely many shape invariant potentials and new orthogonal polynomials
• Exceptional orthogonal polynomials and the Darboux transformation

Cited by in corpus (1)

• Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : II