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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 3+2M3+2M term recurrence relations with variable dependent coefficients for MM-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+23+2\ell terms, where (M)\ell (\geq M) 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