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The smallest eigenvalue of the Hankel matrices associated with a perturbed Jacobi weight Journal article
Wang, Yuxi, Chen, Yang. The smallest eigenvalue of the Hankel matrices associated with a perturbed Jacobi weight[J]. Applied Mathematics and Computation, 2024, 474, 128615.
Authors:  Wang, Yuxi;  Chen, Yang
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:3.5/3.1 | Submit date：2024/05/16
Asymptotics  Hankel Matrices  Orthogonal 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  
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  
Laguerre unitary ensembles with jump discontinuities, PDEs and the coupled Painlevé V system Journal article
Lyu,Shulin, Chen,Yang, Xu,Shuai Xia. Laguerre unitary ensembles with jump discontinuities, PDEs and the coupled Painlevé V system[J]. Physica D: Nonlinear Phenomena, 2023, 449, 133755.
Authors:  Lyu,Shulin;  Chen,Yang;  Xu,Shuai Xia
Favorite | TC[WOS]:2 TC[Scopus]:2  IF:2.7/3.1 | Submit date：2023/08/03
Laguerre Unitary Ensembles  Hankel Determinant  Orthogonal Polynomials  Painlevé Equations  Riemann–hilbert Problems  
Asymptotic relations for semi-classical Laguerre orthogonal polynomials and the associated Hankel determinants Journal article
Pengju Han, Yang Chen. Asymptotic relations for semi-classical Laguerre orthogonal polynomials and the associated Hankel determinants[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2022.
Authors:  Pengju Han;  Yang Chen
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:1.2/1.3 | Submit date：2022/07/04
Random Matrix Theory  Hankel Determinant  Semi-classical Laguerre Weight  Ladder Operators  Orthogonal Polynomials  
Distribution of the Scaled Condition Number of Single-spiked Complex Wishart Matrices Journal article
Pasan Dissanayake, Prathapasinghe Dharmawansa, Yang Chen. Distribution of the Scaled Condition Number of Single-spiked Complex Wishart Matrices[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2022, 68(10), 6716-6737.
Authors:  Pasan Dissanayake;  Prathapasinghe Dharmawansa;  Yang Chen
Favorite | TC[WOS]:1 TC[Scopus]:1  IF:2.2/2.4 | Submit date：2022/07/04
Condition Number  Cumulative Distribution Function (C.d.f.)  Eigenvalues  Hypergeometric Function Of Two Matrix Arguments  Moment Generating Function (M.g.f.)  Orthogonal Polynomials  Probability Density Function (P.d.f.)  Single-spiked Covariance  Wishart Matrix  
A degenerate Gaussian weight connected with Painlevé equations and Heun equations Journal article
Han,Pengju, Chen,Yang. A degenerate Gaussian weight connected with Painlevé equations and Heun equations[J]. Random Matrices: Theory and Application, 2022, 10(04).
Authors:  Han,Pengju;  Chen,Yang
Favorite | TC[WOS]:3 TC[Scopus]:3  IF:0.9/0.9 | Submit date：2021/03/09
Orthogonal Polynomials  Ladder-operators Approach  Painlevé Equation  Heun Equation  Asymptotic Behavior  
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  
Differential and difference equations for recurrence coefficients of orthogonal polynomials with hypergeometric weights and Bäcklund transformations of the sixth Painlevé equation Journal article
Hu,Jie, Filipuk,Galina, Chen,Yang. Differential and difference equations for recurrence coefficients of orthogonal polynomials with hypergeometric weights and Bäcklund transformations of the sixth Painlevé equation[J]. Random Matrices: Theory and Application, 2021, 10(3), 2150029.
Authors:  Hu,Jie;  Filipuk,Galina;  Chen,Yang
Favorite | TC[WOS]:2 TC[Scopus]:2  IF:0.9/0.9 | Submit date：2021/03/09
Bäcklund Transformations  Discrete Orthogonal Polynomials  Hypergeometric Weights  Painlevé Vi