English

Stable equilibria for the roots of the symmetric continuous Hahn and Wilson polynomials

Classical Analysis and ODEs 2021-02-15 v1

Abstract

We show that the gradient flows associated with a recently found family of Morse functions converge exponentially to the roots of the symmetric continuous Hahn polynomials. By symmetry reduction the rate of the exponential convergence can be improved, which is clarified by comparing with corresponding gradient flows for the roots of the Wilson polynomials.

Keywords

Cite

@article{arxiv.1911.05982,
  title  = {Stable equilibria for the roots of the symmetric continuous Hahn and Wilson polynomials},
  author = {J. F. van Diejen},
  journal= {arXiv preprint arXiv:1911.05982},
  year   = {2021}
}

Comments

20 pages, 6 figures, LaTeX2e