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Fast implicit difference schemes for time-space fractional diffusion equations with the integral fractional Laplacian Journal article
Mathematical Methods in the Applied Sciences, 2021,Volume: 44,Issue: 1,Page: 441-463
Authors:  Gu,Xian Ming;  Sun,Hai Wei;  Zhang,Yanzhi;  Zhao,Yong Liang
Favorite |  | TC[WOS]:0 TC[Scopus]:1 | Submit date:2021/03/09
Caputo derivative  circulant preconditioner  fractional diffusion equations  integral fractional Laplacian  Krylov subspace solvers  
Painlevé VI, Painlevé III, and the Hankel determinant associated with a degenerate Jacobi unitary ensemble Journal article
Mathematical Methods in the Applied Sciences, 2020,Volume: 43,Issue: 15,Page: 9169-9184
Authors:  Min,Chao;  Chen,Yang
Favorite |  | TC[WOS]:0 TC[Scopus]:1 | Submit date:2021/03/09
degenerate Jacobi unitary ensemble  double scaling analysis  Hankel determinant  ladder operators  Painlevé equations  random matrix theory  
On semiclassical orthogonal polynomials associated with a Freud-type weixght Journal article
Mathematical Methods in the Applied Sciences, 2020,Volume: 43,Issue: 8,Page: 5295-5313
Authors:  Wang,Dan;  Zhu,Mengkun;  Chen,Yang
Favorite |  | TC[WOS]:2 TC[Scopus]:1 | Submit date:2021/03/09
asymptotics  bounds  Freud-type weight  orthogonal polynomials  semiclassical  
Effective numerical evaluation of the double Hilbert transform Journal article
Mathematical Methods in the Applied Sciences, 2020,Volume: 43,Issue: 7,Page: 4086-4106
Authors:  Sun,Xiaoyun;  Dang,Pei;  Leong,Ieng Tak;  Ku,Min
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2021/03/11
2D adaptive Fourier decomposition  2D mechanical quadrature method  double Hilbert transform  trigonometric interpolation  
Painleve transcendents and the Hankel determinants generated by a discontinuous Gaussian weight Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019,Volume: 42,Issue: 1,Page: 301-321
Authors:  Min, Chao;  Chen, Yang
Favorite |  | TC[WOS]:7 TC[Scopus]:6 | Submit date:2019/01/17
asymptotics  Hankel determinants  ladder operators  orthogonal polynomials  Painleve transcendents  random matrices  
Painlevé transcendents and the Hankel determinants generated by a discontinuous Gaussian weight Journal article
Mathematical Methods in the Applied Sciences, 2019,Volume: 42,Issue: 1,Page: 301-321
Authors:  Min C.;  Chen Y.
Favorite |  | TC[WOS]:7 TC[Scopus]:6 | Submit date:2019/02/12
Asymptotics  Hankel Determinants  Ladder Operators  Orthogonal Polynomials  Painlevé Transcendents  Random Matrices  
The smallest eigenvalue of large Hankel matrices generated by a deformed Laguerre weight Journal article
Mathematical Methods in the Applied Sciences, 2019,Volume: 42,Issue: 9,Page: 3272-3288
Authors:  Mengkun Zhu;  Niall Emmart;  Yang Chen;  Charles Weems
Favorite |  | TC[WOS]:2 TC[Scopus]:2 | Submit date:2019/05/31
Asymptotics  Hankel Matrices  Random Matrix  Smallest Eigenvalue  Orthogonal Polynomials  
Prolate spheroidal wave functions associated with the quaternionic Fourier transform Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018,Volume: 41,Issue: 11,Page: 4003-4020
Authors:  Zou, Cuiming;  Kou, Kit Ian;  Morais, Joao
Favorite |  | TC[WOS]:1 TC[Scopus]:2 | Submit date:2018/10/30
Quaternionic Analysis  Quaternionic Fourier Transform  Quaternionic Signal  The Energy Concentration Problem  Mathieu Functions  Bandlimited Extrapolation  
Phase-based edge detection algorithms Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018,Volume: 41,Issue: 11,Page: 4148-4169
Authors:  Hu, Xiao-Xiao;  Kou, Kit Ian
Favorite |  | TC[WOS]:0 TC[Scopus]:1 | Submit date:2018/10/30
edge detection  Hardy space  Plemelj-Sokhotzkis formulae  quaternion analytic signal  quaternion Fourier transform  
Prolate spheroidal wave functions associated with the quaternionic Fourier transform Conference paper
Mathematical Methods in the Applied Sciences
Authors:  Zou C.;  Kou K.I.;  Morais J.
Favorite |  | TC[WOS]:1 TC[Scopus]:2 | Submit date:2019/02/13
bandlimited extrapolation  Mathieu functions  quaternionic analysis  quaternionic Fourier transform  quaternionic signal  the energy concentration problem