8 citations · 16 across the 4 of their papers we have counts for
4 papers
Construction of Hypergeometric Solutions to the q-Painlevé Equations
Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi +2
Hypergeometric solutions to the q-Painlevé equations are constructed by direct linearization of disrcrete Riccati equations. The decoupling factors are explicitly determined so tha…
Point configurations, Cremona transformations and the elliptic difference Painlevé equation
K. Kajiwara, T. Masuda, M. Noumi +2
A theoretical foundation for a generalization of the elliptic difference Painlevé equation to higher dimensions is provided in the framework of birational Weyl group action on the…
Hypergeometric solutions to the q-Painlevé equations
Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi +2
Hypergeometric solutions to seven q-Painlevé equations in Sakai's classification are constructed. Geometry of plane curves is used to reduce the q-Painlevé equations to the three-t…
Cubic Pencils and Painlevé Hamiltonians
Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi +2
We present a simple heuristic method to derive the Painlevé differential equations from the corresponding geometry of rational surafces. We also give a direct relationship between…