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arxiv: 1410.8236 · v2 · pith:OHW6UKWEnew · submitted 2014-10-30 · 🧮 math-ph · hep-th· math.CA· math.MP· nlin.SI· quant-ph

Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : II

classification 🧮 math-ph hep-thmath.CAmath.MPnlin.SIquant-ph
keywords orthogonalpolynomialsrecurrencerelationsmulti-indexedcoefficientsaskey-wilsonconjectures
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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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