English

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

Classical Analysis and ODEs 2019-03-05 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1903.00867,
  title  = {Solutions of convex Bethe Ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials},
  author = {J. F. van Diejen and E. Emsiz},
  journal= {arXiv preprint arXiv:1903.00867},
  year   = {2019}
}

Comments

21 pages, LaTeX