Recurrence coefficients for the time-evolved Jacobi weight and discrete Painlevé 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$\left(A_3^{(1)}/D_5^{(1)}\right)$ equations and a time-evolved Jacobi weight, $w(x)=x^{\alpha }(1-x{)}^{\beta }{\mathrm{e}}^{-sx}$, $x\…