Jianduo Yu, Siqi Chen, Chuanzhong Li, Mengkun Zhu, Yang Chen, “Painlevé V and confluent Heun equations associated with a perturbed Gaussian unitary ensemble”, Journal of Mathematical Physics, 64, no. 8, 2023, 083501
P. A. Clarkson, “Vortices and Polynomials”, Stud Appl Math, 123, no. 1, 2009, 37
Pengju Han, Yang Chen, “The recurrence coefficients of a semi-classical Laguerre polynomials and the large n asymptotics of the associated Hankel determinant”, Random Matrices: Theory Appl., 06, no. 04, 2017, 1740002
Yang Chen, Matthew R. McKay, “Coulumb Fluid, Painlevé Transcendents, and the Information Theory of MIMO Systems”, IEEE Trans. Inform. Theory, 58, no. 7, 2012, 4594
Shuai-Xia Xu, Yu-Qiu Zhao, “Gap Probability of the Circular Unitary Ensemble with a Fisher–Hartwig Singularity and the Coupled Painlevé V System”, Commun. Math. Phys., 377, no. 2, 2020, 1545
Peter A. Clarkson, “Rational solutions of the classical Boussinesq system”, Nonlinear Analysis: Real World Applications, 10, no. 6, 2009, 3360
Estelle Basor, Yang Chen, Torsten Ehrhardt, “Painlevé V and time-dependent Jacobi polynomials”, J. Phys. A: Math. Theor., 43, no. 1, 2010, 015204
Min Chen, Yang Chen, “Singular linear statistics of the Laguerre unitary ensemble and Painlevé. III. Double scaling analysis”, Journal of Mathematical Physics, 56, no. 6, 2015, 063506
Peter J. Forrester, Christopher M. Ormerod, “Differential equations for deformed Laguerre polynomials”, Journal of Approximation Theory, 162, no. 4, 2010, 653
Colin Rogers, Andrew P. Bassom, Peter A. Clarkson, “On integrable Ermakov–Painlevé IV systems”, Journal of Mathematical Analysis and Applications, 462, no. 2, 2018, 1225