Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : II

preprint2015arXivOpen access

Abstract

In a previous paper we presented 3+2M3+2M term recurrence relations with variable dependent coefficients for MM-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+2ℓ3+2\ell terms, where ℓ(≥M)\ell (\geq M) is the degree of the lowest member of the multi-indexed orthogonal polynomials.

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