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Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : II

arXiv
Authors: Satoru Odake

Year

2014

Paper ID

46716

Status

Preprint

Abstract Read

~2 min

Abstract Words

67

Citations

N/A

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

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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...

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