SAKAI Hidetaka

Last updated: 11/05/14 22:29

Name	SAKAI Hidetaka
Nickname	sky

Papers

Plain Text

Problem: Discrete Painlevé equations and their Lax forms

Sakai H.

RIMS Kôkyûroku Bessatsu B2 195-208 2007 [Refereed]

Studies on the Painlevé equations, V, Third Painlevé equations of special type

and

Y. Ohyama, H. Kawamuko, H. Sakai, K. Okamoto

J. Math. Sci. Univ. Tokyo 13 145-204 2006 [Refereed]

Lax form of the

-Painlevé equation associated with the

surface

Sakai H.

J. Phys. A: Math. Gen. 39 12203-12210 2006 [Refereed]

Folding transformations of the Painlevé equations

T. Tsuda, K. Okamoto, H. Sakai

Math. Annalen 331 713-738 2005 [Refereed]

-analog of the Garnier system

Sakai H.

Funkcial. Ekvac. 48 273-297 2005 [Refereed]

Hypergeometric solution of

-Schlesinger system of rank two

Sakai H.

Lett. Math. Phys. 73 237-247 2005 [Refereed]

-anaolg of the sixth Painlevé equation

Michio Jimbo, Hidetaka Sakai

Lett. Math. Phys. 38 145-154 1996 [Refereed]

-difference analog of the sixth Painlevé equation is presented. It
arises as the condition for preserving the connection matrix of linear

-difference equations, in close analogy with the monodromy preserving
deformation of linear differential equations. The continuous limit and special
solutions in terms of

-hypergeometric functions are also discussed.

Riccati Solutions of Discrete Painlevé Equations with Weyl Group Symmetry of Type

Mikio Murata, Hidetaka Sakai, Jin Yoneda

J. Math. Phys., 44 1396-1414 2003 [Refereed]

We present a special solutions of the discrete Painlevé equations
associated with

and

-surface. These
solutions can be expressed by solutions of linear difference equations. Here
the

-surface discrete Painlevé equation is the most generic
difference equation, as all discrete Painlevé equations can be obtained by
its degeneration limit. The...

Bilinear structure and Schlesinger transforms of the

and

equations

M. Jimbo, H. Sakai, A. Rammani, B. Grammaticos

Phys. Lett. A 217 111-118 1996 [Refereed]

Rational surfaces associated with affine root systems and geometry of the Painleé equations

Sakai H.

Commun. Math. Phys. 220 165-229 2001 [Refereed]

Degeneration through coalescence of the

-Painlevé VI equations

B. Grammaticos, Y. Ohta, A. Rammani, H. Sakai

J. Phys. A : Math. Gen. 31 3545-3558 1998 [Refereed]

Casorati determinant solutions for the

-difference sixth Painlevé equation

Sakai H.

Nonlinearity 11 823-833 1998 [Refereed]