15 citations · 15 across the 3 of their papers we have counts for
3 papers
math.CA2023
A study on the bilinear equation of the sixth Painlevé transcendents
Tatsuya Hosoi, Hidetaka Sakai
The sixth Painlevé equation is a basic equation among the non-linear differential equations with three fixed singularities, corresponding to Gauss's hypergeometric differential equ…
math-ph2020
Discrete Hamiltonians of discrete Painlevé equations
Takafumi Mase, Akane Nakamura, Hidetaka Sakai
We express discrete Painlevé equations as discrete Hamiltonian systems. The discrete Hamiltonian systems here mean the canonical transformations defined by generating functions. Ou…
math-ph2017★ 15 cited
CFT approach to the -Painlevé VI equation
M. Jimbo, H. Nagoya, H. Sakai
Iorgov, Lisovyy, and Teschner established a connection between isomonodromic deformation of linear differential equations and Liouville conformal field theory at . In this pap…