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, № 8, 2023, 083501
P. A. Clarkson, “Vortices and Polynomials”, Stud Appl Math, 123, № 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, № 04, 2017, 1740002
Yang Chen, Matthew R. McKay, “Coulumb Fluid, Painlevé Transcendents, and the Information Theory of MIMO Systems”, IEEE Trans. Inform. Theory, 58, № 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, № 2, 2020, 1545
Peter A. Clarkson, “Rational solutions of the classical Boussinesq system”, Nonlinear Analysis: Real World Applications, 10, № 6, 2009, 3360
Estelle Basor, Yang Chen, Torsten Ehrhardt, “Painlevé V and time-dependent Jacobi polynomials”, J. Phys. A: Math. Theor., 43, № 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, № 6, 2015, 063506
Peter J. Forrester, Christopher M. Ormerod, “Differential equations for deformed Laguerre polynomials”, Journal of Approximation Theory, 162, № 4, 2010, 653
Colin Rogers, Andrew P. Bassom, Peter A. Clarkson, “On integrable Ermakov–Painlevé IV systems”, Journal of Mathematical Analysis and Applications, 462, № 2, 2018, 1225