Solutions of convex Bethe Ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials |
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Authors: | van Diejen J F Emsiz E |
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Institution: | 1.Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile ;2.Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile ; |
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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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