Journal Article Recurrence relations of the multi-indexed orthogonal polynomials. II

Odake, Satoru

56 ( 5 )  , p.53506 , 2015-05 , AMER INST PHYSICS
NCID:AA00701758
Description
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 + 2ℓ terms, where ℓ (≥M) is the degree of the lowest member of the multi-indexed orthogonal polynomials.
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