Prof. DAI Dan (代丹)
Research Output
- 2017
- Published
Connection formulas for the Ablowitz–Segur solutions of the inhomogeneous Painlevé II equation
Dai, D. & Hu, W., Jul 2017, In: Nonlinearity. 30, 7, p. 2982-3009Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 13 - 2016
- Published
Hankel determinants for a singular complex weight and the first and third Painlevé transcendents
Xu, S.-X., Dai, D. & Zhao, Y.-Q., May 2016, In: Journal of Approximation Theory. 205, p. 64-92Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 7 - 2015
- Published
The Selected Works of Roderick S C Wong
WONG, R. S. C., DAI, D. (Editor), DAI, H.-H. (Editor), YANG, T. (Editor) & ZHOU, D.-X. (Editor), Sept 2015, World Scientific Publishing Co. 1560 p.Research output: Scholarly Books, Monographs, Reports and Case Studies › RGC 14 - Edited book (Editor)
- Published
Asymptotics for Laguerre polynomials with large order and parameters
Dai, D., Ismailb, M. E. H. & Wang, J., May 2015, In: Journal of Approximation Theory. 193, p. 4 - 19Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 3 - Published
Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight
Xu, S.-X., Dai, D. & Zhao, Y.-Q., Apr 2015, In: Journal of Approximation Theory. 192, p. 1-18Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 30 - Published
Uniform asymptotics of orthogonal polynomials arising from Coherent states
DAI, D., HU, W. & WANG, X.-S., 2015, In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 11, 070.Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 4 - 2014
- Published
Critical Edge Behavior and the Bessel to Airy Transition in the Singularly Perturbed Laguerre Unitary Ensemble
Xu, S.-X., Dai, D. & Zhao, Y.-Q., Dec 2014, In: Communications in Mathematical Physics. 332, 3, p. 1257-1296Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 36 - Published
Plancherel-Rotach Asymptotic Expansion for Some Polynomials from Indeterminate Moment Problems
Dai, D., Ismail, M. E. H. & Wang, X.-S., Aug 2014, In: Constructive Approximation. 40, 1, p. 61-104Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 15 - Published
Existence and uniqueness of tronquée solutions of the third and fourth Painlevé equations
Lin, Y., Dai, D. & Tibboel, P., Feb 2014, In: Nonlinearity. 27, 2, p. 171-186Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 8 - Published
Asymptotics of the partition function of a Laguerre-type random matrix model
Zhao, Y., Cao, L. H. & Dai, D., Jan 2014, In: Journal of Approximation Theory. 178, p. 64-90Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 4 - Published
Uniform asymptotics for orthogonal polynomials with exponential weight on the positive real axis
Dai, D., Qiu, W. & Wang, J., 2014, In: Asymptotic Analysis. 89, 1-2, p. 1 - 19Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 2 - 2010
- Published
Painlevé V and a Pollaczek-Jacobi type orthogonal polynomials
Chen, Y. & Dai, D., Dec 2010, In: Journal of Approximation Theory. 162, 12, p. 2149-2167Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 38 - Published
On tronquée solutions of the first Painlevé hierarchy
Dai, D. & Zhang, L., Aug 2010, In: Journal of Mathematical Analysis and Applications. 368, 2, p. 393-399Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 16 - Published
Painlevé VI and Hankel determinants for the generalized Jacobi weight
Dai, D. & Zhang, L., 2010, In: Journal of Physics A: Mathematical and Theoretical. 43, 5, 55207.Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 44 - 2009
Painlevé IV asymptotics for orthogonal polynomials with respect to a modified laguerre weight
Dai, D. & Kuijlaars, A. B. J., Jan 2009, In: Studies in Applied Mathematics. 122, 1, p. 29-83Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 23- 2008
- Published
Global asymptotics for Laguerre polynomials with large negative parameter-a Riemann-Hilbert approach
Dai, D. & Wong, R., Jul 2008, In: Ramanujan Journal. 16, 2, p. 181-209Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 7 - 2007
- Published
Global asymptotics of krawtchouk polynomials - A riemann-hilbert approach
Dai, D. & Wong, R., Jan 2007, In: Chinese Annals of Mathematics. Series B. 28, 1, p. 1-34Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 30
