Orthogonal polynomials: from Heun equations to Painlevé equations

Mengkun Zhu, Yuting Chen, Jianduo Yu +1

In this paper, we {\color{black}study four kinds of polynomials orthogonal with the singularly perturbed Gaussian weight $w_{\mathrm{SPG}}(x)$, the deformed Freud weight $w_{\mathrm{DF}}(x)$…