Xudan Luo

Xudan Luo.

Xudan Luo

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

xudanluo@buffalo.edu

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.