1 citations · 2 across the 3 of their papers we have counts for
4 papers
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…
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…
Solutions of Darboux Equations, its Degeneration and Painlevé VI Equations
Yik-Man Chiang, Avery Ching, Chiu-Yin Tsang
In this paper, we study the Darboux equations in both classical and system form, which give the elliptic Painlevé VI equations by the isomonodromy deformation method. Then we estab…
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…