Solutions of convex Bethe Ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials

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Abstract

Via the solutions of systems of algebraic equations of Bethe Ansatz type, we arrive at bounds for the zeros of orthogonal (basic) hypergeometric polynomials belonging to the Askey–Wilson, Wilson and continuous Hahn families.

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van Diejen, J. F., & Emsiz, E. (2019). Solutions of convex Bethe Ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials. Letters in Mathematical Physics, 109(1), 89–112. https://doi.org/10.1007/s11005-018-1101-0

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