Gradient system for the roots of the Askey-Wilson polynomial

van Diejen, J.

doi:10.1090/proc/14625

Gradient system for the roots of the Askey-Wilson polynomial
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by J. F. van Diejen PDF

Proc. Amer. Math. Soc. 147 (2019), 5239-5249 Request permission

Abstract:

Recently, it was observed that the roots of the Askey-Wilson polynomial are retrieved at the unique global minimum of an associated strictly convex Morse function [J. F. van Diejen and E. Emsiz, Lett. Math. Phys. 109 (2019), pp. 89–112]. The purpose of the present note is to infer that the corresponding gradient flow converges to the roots in question at an exponential rate.

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