8 citations · 13 across the 4 of their papers we have counts for
12 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…
A new Lax pair for the sixth Painlevé equation associated with
Masatoshi Noumi, Yasuhiko Yamada
A new Lax pair for the sixth Painlevé equation is constructed in the framework of the loop algebra . The whole affine Weyl group symmetry of $P…
Tropical Robinson-Schensted-Knuth correspondence and birational Weyl group actions
Masatoshi Noumi, Yasuhiko Yamada
By using an elementary matrix approach, based on the technique of discrete Toda equation, we construct subtraction-free rational and piecewise linear transformations associated wit…