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arxiv: 1903.00867 · v1 · pith:UQPQ43FLnew · submitted 2019-03-03 · 🧮 math.CA · math-ph· math.MP

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

classification 🧮 math.CA math-phmath.MP
keywords ansatzbasicbetheequationshypergeometricorthogonalpolynomialssolutions
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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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