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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