8 citations · 13 across the 4 of their papers we have counts for
7 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…
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…
_10E_9 solution to the elliptic Painlev'e equation
Kenji Kajiwara, Masatoshi Noumi, Tetsu Masuda +2
A function formalism for Sakai's elliptic Painlev'e equation is presented. This establishes the equivalence between the two formulations by Sakai and by Ohta-Ramani-Grammaticos…
Blending two discrete integrability criteria: singularity confinement and algebraic entropy
S. Lafortune, A. Ramani, B. Grammaticos +2
We confront two integrability criteria for rational mappings. The first is the singularity confinement based on the requirement that every singularity, spontaneously appearing duri…
A Determinant Formula for a Class of Rational Solutions of Painlevé V Equation
Tetsu Masuda, Yasuhiro Ohta, Kenji Kajiwara
We give an explicit determinant formula for a class of rational solutions of the Painlevé V equation in terms of the universal characters.