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arXiv · 1410.8236

Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : II

Satoru Odake
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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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Satoru Odake. 2015-05-07. Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : II. https://doi.org/10.1063/1.4921230

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