17 citations · 48 across the 21 of their papers we have counts for
21 papers
Holonomic Bessel modules and generating functions
Yik Man Chiang, Avery Ching, Xiaoli Lin
We have solved a number of holonomic PDEs derived from the Bessel modules which are related to the generating functions of classical Bessel functions and the difference Bessel func…
Series solutions of linear ODEs by Newton-Raphson method on quotient -modules
Yik Man Chiang, Avery Ching, Chiu Yin Tsang
We develop a module approach to various kinds of solutions to several classes of important differential equations by long divisions of different differential operators. The zer…
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…
Resolving singularities and monodromy reduction of Fuchsian connections
Yik-Man Chiang, Avery Ching, Chiu-Yin Tsang
We study monodromy reduction of Fuchsian connections from a sheave theoretic viewpoint, focusing on the case when a singularity of a special connection with four singularities has…
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…
Invariant subspaces of biconfluent Heun operators and special solutions of Painlevé IV
Yik-Man Chiang, Chun-Kong Law, Guo-Fu Yu
We show that there is a full correspondence between the parameters space of the degenerate biconfluent Heun connection (BHC) and that of Painlevé IV that admits special solutions.…