Representations of Indefinite Integrals Involving Exceptional Orthogonal Polynomials in Terms of Wronskians and Parameter Derivatives

Abstract

We construct classes of indefinite integrals that involve exceptional orthogonal polynomials of Laguerre, Jacobi, or Hermite types. By means of a recently devised method, these integrals can be represented in closed form. As a byproduct, we obtain integrals that involve confluent Heun or Heun polynomials.