2 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.CA2022
On Formal Series Solutions To 4th-order Quadratic Homogeneous Differential Equations And Their Convergence
Tatsuya Hosoi
It is known that all functions of the Painlevé equations satisfy the fourth-order quadratic differential equation. Among them, for the III, V, and VI equations, it is possible…