Siqi Chen

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20242026

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math.CA2025

Recurrence coefficients for the time-evolved Jacobi weight and discrete PainlevÃ© equations on the $D_{5}$ Sakai surface

Mengkun Zhu, Siqi Chen, Xuhao Zhang

In this paper, we focus on the relationship between the d-P $(A_{3}^{(1)} / D_{5}^{(1)})$ equations and a time-evolved Jacobi weight, $w (x) = x^{I^} \pm (1 - x)^{2} e^{- s x}$ , $…

math.CA2025

Recurrence coefficients for the semiclassical Laguerrre weight and d-P $(A_{2}^{(1)} / E_{6}^{(1)})$ equations

Siqi Chen, Mengkun Zhu

In this paper, we use Sakai's geometric framework to explore the profound interconnection between recurrence coefficients of the semiclassical Laguerre weight $w(x)=x^Î»\mathrm{e}^…

Recurrence coefficients for the time-evolved Jacobi weight and discrete PainlevÃ© equations on the D5​ Sakai surface

Recurrence coefficients for the semiclassical Laguerrre weight and d-P(A2(1)​/E6(1)​) equations

Recurrence coefficients for the time-evolved Jacobi weight and discrete PainlevÃ© equations on the $D_{5}$ Sakai surface

Recurrence coefficients for the semiclassical Laguerrre weight and d-P $(A_{2}^{(1)} / E_{6}^{(1)})$ equations