Xudan Luo
Post-doctoral Associate
Research Interests
Xudan Luo's research generally belongs to pure and applied analysis, with a focus on the following areas: complex analysis, integrable systems, nonlinear waves, differential and difference equations, special functions.
Contact Information
318 Mathematics Building
UB North Campus
Buffalo NY, 14260-2900
Phone: (716) 645-8804
Fax: (716) 645-5039
Education
PhD, Hong Kong University of Science and Technology
Research Summary
Xudan Luo's research generally belongs to pure and applied analysis, with a focus on the following areas: complex analysis, integrable systems, nonlinear waves, differential and difference equations, special functions.
Selected Publications
Mark J. Ablowitz, Bao-Feng Feng, X.-D. Luo and Ziad H. Musslimani, "Reverse space-time
nonlocal Sine/Sinh-Gordon equations with nonzero boundary conditions", arXiv:1703.02226.
Mark J. Ablowitz, Bao-Feng Feng, X.-D. Luo and Ziad H. Musslimani, "Inverse scattering transform for the
nonlocal reverse space-time nonlinear Schr\"{o}dinger equation", arXiv:1703.02226.
Mark J. Ablowitz, X.-D. Luo and Ziad H. Musslimani, "Inverse scattering transform for the nonlocal
nonlinear Schr\"{o}dinger equation with nonzero boundary conditions", arXiv:1612.02726.
Y.-M. Chiang and X.-D. Luo, "Difference Nevanlinna theories with vanishing and infinite periods", Michigan Mathematical Journal, Vol. 66, no. 3 (2017), 451-480.
L.-Q. Wang and X.-D. Luo, "Uniqueness of meromorphic functions concerning fixed points", Math. Slovaca 62 (2012), No.1, 29-38.
X.-D. Luo and W.-C. Lin, "Value sharing results for shifts of meromorphic functions", J. Math. Anal. Appl. 377 (2011) 441-449.