Recurrence relations of the multi-indexed orthogonal polynomials. II

Abstract

In a previous paper, we presented 3 + 2M term recurrence relations with variable dependent coefficients for M-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson, and Askey-Wilson types. In this paper, we present (conjectures of) the recurrence relations with constant coefficients for these multi-indexed orthogonal polynomials. The simplest recurrence relations have 3 + 2ℓ terms, where ℓ (≥M) is the degree of the lowest member of the multi-indexed orthogonal polynomials.