Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : II
Mathematical Physics
2015-05-26 v2 High Energy Physics - Theory
Classical Analysis and ODEs
math.MP
Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
In a previous paper we presented term recurrence relations with variable dependent coefficients for -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 terms, where is the degree of the lowest member of the multi-indexed orthogonal polynomials.
Keywords
Cite
@article{arxiv.1410.8236,
title = {Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : II},
author = {Satoru Odake},
journal= {arXiv preprint arXiv:1410.8236},
year = {2015}
}
Comments
27 pages. Comments, references and examples added, reference information updated. To appear in J.Math.Phys