8 citations · 19 across the 6 of their papers we have counts for
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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…
Classical transcendental solutions of the Painlevé equations and their degeneration
Tetsu Masuda
We present a determinant expression for a family of classical transcendental solutions of the Painlevé V and the Painlevé VI equation. Degeneration of these solutions along the pro…
On a class of algebraic solutions to Painlevé VI equation, its determinant formula and coalescence cascade
Tetsu Masuda
A determinant formula for a class of algebraic solutions to Painlevé VI equation (P) is presented. This expression is regarded as a special case of the universal charact…