10 citations · 25 across the 6 of their papers we have counts for
14 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…
Multiple elliptic hypergeometric series --An approach from the Cauchy determinant--
Yasushi Kajihara, Masatoshi Noumi
A multiple generalization of elliptic hypergeometric series is investigated and a duality transformation for multiple hypergeometric series is proposed. Our duality transformation…
Affine Weyl group approach to Painlevé equations
Masatoshi Noumi
An overview is given on recent developments in the affine Weyl group approach to Painlevé equations and discrete Painlevé equations, based on the joint work with Y. Yamada and K. K…
_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…