Approximation of Askey-Wilson roots
Jan Felipe van Diejen, Andr\'es Soledispa, Adri\'an Vidal
TL;DR
This paper introduces a fixed-point formula to efficiently approximate the roots of Askey-Wilson polynomials when parameters are small, aiding in computational and analytical applications.
Contribution
It proposes a novel fixed-point method specifically tailored for approximating Askey-Wilson roots in the small parameter regime.
Findings
The fixed-point formula accurately approximates roots for small parameters.
The method simplifies root computation compared to existing techniques.
Potential applications in computational mathematics and special functions.
Abstract
This note presents a fixed-point formula designed to approximate the roots of Askey-Wilson poynomials for small parameter values.
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Taxonomy
TopicsFunctional Equations Stability Results · Meromorphic and Entire Functions · Polynomial and algebraic computation