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Elliptic Racah polynomials (2106.07394v1)
Published 11 Jun 2021 in math.CA, math-ph, and math.MP
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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