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arXiv · 1511.05215

The para-Racah polynomials

Jean-Michel Lemay·Luc Vinet·Alexei Zhedanov
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Abstract

New bispectral polynomials orthogonal on a quadratic bi-lattice are obtained from a truncation of Wilson polynomials. Recurrence relation and difference equation are provided. The recurrence coefficients can be encoded in a perturbed persymmetric Jacobi matrix. The orthogonality relation and an explicit expression in terms of hypergeometric functions are also given. Special cases and connections with the para-Krawtchouk polynomials and the dual-Hahn polynomials are also discussed.

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Jean-Michel Lemay, Luc Vinet, Alexei Zhedanov. 2015-11-16. The para-Racah polynomials. https://arxiv.org/abs/1511.05215

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