The para-Racah polynomials

Authors :: Alexei Zhedanov
Luc Vinet
Jean-Michel Lemay
Source :: Journal of Mathematical Analysis and Applications. 438:565-577
Publication Year :: 2016
Publisher :: Elsevier BV, 2016.
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.<br />Comment: 11 pages