17 citations · 48 across the 21 of their papers we have counts for
11 papers · 1 filter
D-module approach to Liouville's Theorem for difference operators
Kam Hang Cheng, Yik-Man Chiang, Avery Ching
We establish analogues of Liouville's theorem in the complex function theory, with the differential operator replaced by various difference operators. This is done generally by the…
Wiman-Valiron theory for a polynomial series based on the Askey-Wilson operator
Kam Hang Cheng, Yik-Man Chiang
We establish a Wiman-Valiron theory of a polynomial series based on the Askey-Wilson operator , where . For an entire function of log-order smaller th…
Nevanlinna Theory of the Wilson Divided-difference Operator
Kam Hang Cheng, Yik-Man Chiang
Sitting at the top level of the Askey-scheme, Wilson polynomials are regarded as the most general hypergeometric orthogonal polynomials. Instead of a differential equation, they sa…
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…
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 $…
Estimates on the Growth of Meromorphic Solutions of Linear Differential Equations with density conditions
Yik-Man Chiang
We give an alternative and simpler method for getting pointwise estimate of meromorphic solutions of homogeneous linear differential equations with coefficients meromorphic in a fi…