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arXiv · 2106.07394

Elliptic Racah polynomials

Jan Felipe van Diejen·Tamás Görbe
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Abstract

Upon solving a finite discrete reduction of the difference Heun equation, we arrive at an elliptic generalization of the Racah polynomials. We exhibit the three-term recurrence relation and the orthogonality relations for these elliptic Racah polynomials. The well-known $q$-Racah polynomials of Askey and Wilson are recovered as a trigonometric limit.

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BibTeXRIS

Jan Felipe van Diejen, Tamás Görbe. 2021-06-11. Elliptic Racah polynomials. https://doi.org/10.1007/s11005-022-01555-w

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