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THE SMALLEST EIGENVALUE OF LARGE HANKEL MATRICES ASSOCIATED WITH A SEMICLASSICAL LAGUERRE WEIGHT Journal article
Wang, Dan, Zhu, Mengkun, Chen, Yang. THE SMALLEST EIGENVALUE OF LARGE HANKEL MATRICES ASSOCIATED WITH A SEMICLASSICAL LAGUERRE WEIGHT[J]. Mathematical Inequalities and Applications, 2024, 27(1), 53-62.
Authors:  Wang, Dan;  Zhu, Mengkun;  Chen, Yang
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:0.9/0.8 | Submit date：2024/05/16
Asymptotics  Hankel Matrices  Polynomials  Smallest Eigenvalue  
THE SMALLEST EIGENVALUE OF THE ILL-CONDITIONED HANKEL MATRICES ASSOCIATED WITH A SEMI-CLASSICAL HERMITE WEIGHT Journal article
Wang, Yuxi, Zhu, Mengkun, Chen, Yang. THE SMALLEST EIGENVALUE OF THE ILL-CONDITIONED HANKEL MATRICES ASSOCIATED WITH A SEMI-CLASSICAL HERMITE WEIGHT[J]. Proceedings of the American Mathematical Society, 2023, 151(12), 5345-5352.
Authors:  Wang, Yuxi;  Zhu, Mengkun;  Chen, Yang
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:0.8/0.8 | Submit date：2024/01/02
Hankel Matrices  Orthogonal Polynomials  Smallest Eigenvalue  
Painlevé V and confluent Heun equations associated with a perturbed Gaussian unitary ensemble Journal article
Yu, Jianduo, Chen, Siqi, Li, Chuanzhong, Zhu, Mengkun, Chen, Yang. Painlevé V and confluent Heun equations associated with a perturbed Gaussian unitary ensemble[J]. Journal of Mathematical Physics, 2023, 64(8), 083501.
Authors:  Yu, Jianduo;  Chen, Siqi;  Li, Chuanzhong;  Zhu, Mengkun;  Chen, Yang
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:1.2/1.3 | Submit date：2023/09/04
A singular linear statistic for a perturbed LUE and the Hankel matrices Journal article
Wang, Dan, Zhu, Mengkun, Chen, Yang. A singular linear statistic for a perturbed LUE and the Hankel matrices[J]. Journal of Mathematical Physics, 2023, 64(8), 083507.
Authors:  Wang, Dan;  Zhu, Mengkun;  Chen, Yang
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:1.2/1.3 | Submit date：2023/09/22
The Jacobi-type polynomials and general Heun equations Journal article
Wang,Dan, Zhu,Mengkun, Chen,Yang. The Jacobi-type polynomials and general Heun equations[J]. Applied Mathematics Letters, 2023, 144, 108694.
Authors:  Wang,Dan;  Zhu,Mengkun;  Chen,Yang
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:2.9/2.6 | Submit date：2023/08/03
Asymptotics  General Heun Equation  Orthogonal Polynomials  
Integrability of a generalized (2+1)-dimensional soliton equation via Bell polynomials Journal article
Li, Chunhui, Zhu, Mengkun, Wang, Dan, Zhang, Jinyu, Wang, Xiaoli. Integrability of a generalized (2+1)-dimensional soliton equation via Bell polynomials[J]. Zeitschrift fur Angewandte Mathematik und Physik, 2023, 74, 62.
Authors:  Li, Chunhui;  Zhu, Mengkun;  Wang, Dan;  Zhang, Jinyu;  Wang, Xiaoli
Favorite | TC[WOS]:2 TC[Scopus]:3  IF:1.7/1.8 | Submit date：2023/02/28
Bell Polynomials  Bäcklund Transformation  Lax Pair  Infinite Conservation Laws  Hirota Bilinear  
Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues Journal article
Jianduo Yu, Chuanzhong Li, Mengkun Zhu, Yang Chen. Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues[J]. Journal of Mathematical Physics, 2022, 63(6).
Authors:  Jianduo Yu;  Chuanzhong Li;  Mengkun Zhu;  Yang Chen
Favorite | TC[WOS]:2 TC[Scopus]:2  IF:1.2/1.3 | Submit date：2022/07/04
THE SMALLEST EIGENVALUE of LARGE HANKEL MATRICES ASSOCIATED with A SINGULARLY PERTURBED GAUSSIAN WEIGHT Journal article
Wang, Dan, Zhu, Mengkun, Chen, Yang. THE SMALLEST EIGENVALUE of LARGE HANKEL MATRICES ASSOCIATED with A SINGULARLY PERTURBED GAUSSIAN WEIGHT[J]. Proceedings of the American Mathematical Society, 2022, 150(1), 153-160.
Authors:  Wang, Dan;  Zhu, Mengkun;  Chen, Yang
Favorite | TC[WOS]:5 TC[Scopus]:4  IF:0.8/0.8 | Submit date：2022/05/17
Asymptotics  Hankel Matrices  Orthogonal Polynomials  Smallest Eigenvalue  
Painlevé V for a Jacobi unitary ensemble with random singularities Journal article
Zhu, Mengkun, Li, Chuanzhong, Chen, Yang. Painlevé V for a Jacobi unitary ensemble with random singularities[J]. Applied Mathematics Letters, 2021, 120, 107242.
Authors:  Zhu, Mengkun;  Li, Chuanzhong;  Chen, Yang
Favorite | TC[WOS]:6 TC[Scopus]:6  IF:2.9/2.6 | Submit date：2021/12/08
Jacobi Unitary Ensembles  Ladder Operators  Orthogonal Polynomials  Painlevé v  
Painlevé IV and the semi-classical Laguerre unitary ensembles with one jump discontinuities Journal article
Zhu, Mengkun, Wang, Dan, Chen, Yang. Painlevé IV and the semi-classical Laguerre unitary ensembles with one jump discontinuities[J]. Analysis and Mathematical Physics, 2021, 11(3), 131.
Authors:  Zhu, Mengkun;  Wang, Dan;  Chen, Yang
Favorite | TC[WOS]:1 TC[Scopus]:1  IF:1.4/1.4 | Submit date：2021/12/08
Asymptotics  Ladder Operators  Laguerre Unitary Ensembles  Orthogonal Polynomials  Painlevé Equations