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October 11, 2026Constructive ApproximationOpen Access

Approximation of Askey-Wilson roots

J. F. van Diejen Andrés Soledispa Tibán Adrián Vidal

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Abstract

This note presents a fixed-point formula designed to approximate the roots of Askey-Wilson polynomials for small parameter values.

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Cite This Study

Diejen et al. (2026) studied this question.

synapsesocial.com/papers/6acdc967ff4480e723d79de9 https://doi.org/10.1007/s00365-026-09789-w

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Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1An expansion formula for the Askey-Wilson functionOriginal Research · 2001
2Wilson Primes Proposal of Asymptotic Approximation in the Case of Infinite Existence and Polynomial Approach via Root MultiplicityOriginal Research · 2026
3An Application of Gelfand’s Formula in Approximating the Roots of PolynomialsOriginal Research · 2026
4Approximation by polynomials with only real critical points2024 · 5 citations
5On the Average-Offset Pair-Partitioning of Polynomial RootsOriginal Research · 2026

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