Jianduo Yu

collaborators

2 papers

math.CA2026

PainlevÃ© IV, bi-confluent Heun equations and the Hankel determinant generated by a discontinuous semi-classical Laguerre weight

Mengkun Zhu, Jianduo Yu

We consider the discontinuous semi-classical Laguerre weight function with a jump $w (x; t, s) = e^{- x^{2} + t x} (A + B I^¸ (x - s))$ , where $x \in R$ , $t, s \geq 0$ , $A \geq 0$ , $A + B \geq 0$ …

math.CA2024

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 $w_{SPG} (x)$ , the deformed Freud weight $w_{DF} (x)$ …

PainlevÃ© IV, bi-confluent Heun equations and the Hankel determinant generated by a discontinuous semi-classical Laguerre weight

Orthogonal polynomials: from Heun equations to PainlevÃ© equations