9 citations · 26 across the 7 of their papers we have counts for
7 papers
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.…
Periodic spectrum of -cubic quantun graphs
Chun-Kong Law, Yu-Chun Luo, Tui-En Wang
We study the spectrum of some periodic differential operators, in particular the periodic Schrödinger operator acting on infinite -cubic graphs. Using Floquet-Bloch theory, we d…
Dispersion relations of periodic quantum graphs associated with Archimedean tilings (II)
Yu-Chen Luo, Eduardo O. Jatulan, Chun-Kong Law
We continue the work of a previous paper \cite{LJL} to derive the dispersion relations of the periodic quantum graphs associated with the remaining 5 of the 11 Archimedean tilings,…
Dispersion relations of periodic quantum graphs associated with Archimedean tiling (I)
Yu-Chen Luo, Eduardo O. Jatulan, Chun-Kong Law
There are totally 11 kinds of Archimedean tiling for the plane. Applying the Floquet-Bloch theory, we derive the dispersion relations of the periodic quantum graphs associated with…
A Constructive Proof for the Umemura Polynomials of the Third Painlevé Equation
Peter A. Clarkson, Chun-Kong Law, Chia-Hua Lin
We are concerned with the Umemura polynomials associated with rational solutions of the third Painlevé equation. We extend Taneda's method, which was developed for the Yablonskii-V…
A solution to an Ambarzumyan problem on trees
C. K. Law, Eiji Yanagida
We consider the Neumann Sturm-Liouville problem defined on trees such that the ratios of lengths of edges are not necessarily rational. It is shown that the potential function of t…