Solutions of convex Bethe Ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials
arXiv:1903.00867 · doi:10.1007/s11005-018-1101-0
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.
21 pages, LaTeX
References in corpus (5)
- Separation of Variables in the open XXX chain
- The q-deformed analogue of the Onsager algebra: Beyond the Bethe ansatz approach
- The generalized non-linear Schrodinger model on the interval
- Diagonalization of an Integrable Discretization of the Repulsive Delta Bose Gas on the Circle
- Properties of the zeros of the polynomials belonging to the Askey scheme