Constructed closed-form indefinite integrals involving exceptional orthogonal polynomials indicate new relationships.
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.
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Axel Schulze‐Halberg (2026) studied this question.
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