10 citations · 14 across the 4 of their papers we have counts for
4 papers
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…
Wiman-Valiron theory for a polynomial series based on the Wilson operator
Kam Hang Cheng
We establish a Wiman-Valiron theory for a polynomial series based on the Wilson operator . For an entire function of order smaller than , this…
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…