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Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : II

Published 30 Oct 2014 in math-ph, hep-th, math.CA, math.MP, nlin.SI, and quant-ph | (1410.8236v2)

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 $3+2\ell$ terms, where $\ell (\geq M)$ is the degree of the lowest member of the multi-indexed orthogonal polynomials.

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