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math.CA2019★ 2 cited
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.…
math.CA2019★ 1 cited
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…