17 citations · 48 across the 21 of their papers we have counts for
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Difference Nevanlinna theories with vanishing and infinite periods
Yik-Man Chiang, Xudan Luo
By extending the idea of a difference operator with a fixed step to varying-steps difference operators, we have established a difference Nevanlinna theory for meromorphic functions…
Symmetries of the Darboux equation
Yik-Man Chiang, Avery Ching, Chiu-Yin Tsang
This paper establishes the symmetries of Darboux's equations (1882) on tori. We extend Ince's work (1940) by developing new infinite series expansions in terms of Jacobi elliptic f…
Two integrable differential-difference equations derived from NLS-type equation
Zong-Wei Xu, Guo-Fu Yu, Yik-Man Chiang
Two integrable differential-difference equations are derived from a (2+1)-dimensional modified Heisenberg ferromagnetic equation and a resonant nonlinear Schröinger equation respec…
Nevanlinna theory of the Askey-Wilson divided difference operator
Yik-Man Chiang, Shaoji Feng
This paper establishes a version of Nevanlinna theory based on Askey-Wilson divided difference operator for meromorphic functions of finite logarithmic order in the complex plane $…