11 citations · 17 across the 6 of their papers we have counts for
6 papers
The space of monodromy data for the Jimbo-Sakai family of -difference equations
Yousuke Ohyama, Jean-Pierre Ramis, Jacques Sauloy
We formulate a geometric Riemann-Hilbert correspondence that applies to the derivation by Jimbo and Sakai of equation -PVI from ``isomonodromy'' conditions. This is a step withi…
A unified approach to -special functions of the Laplace type
Yousuke Ohyama
We propose a unified approach to -special functions, which are degenerations of basic hypergeometric functions . We obtain a list of seven different class of…
Quadratic equations and monodromy evolving deformations
Yousuke Ohyama
We give a basic theory on monodromy evolving deformations. proposed by Chakravarty and Ablowitz in 1996. We show that Halphen's second quadratic system can be described by monodrom…
Complete coalescent diagram of the Painleve equations
Yousuke Ohyama, Shoji Okumura
We will revise Garnier-Okamoto's coalescent diagram of isomonodromic deformations and give a complete coalescent diagram. In our viewpoint, we have ten types of isomonodromic defor…
R. Fuchs' problem of the Painleve equations from the first to the fifth
Yousuke Ohyama, Shoji Okumura
We will classify all rational transformations which change the confluent hypergeometric equations to linear equations of the Painleve type from the first to the fifth. We show such…
Darboux-Halphen-Brioshi system with rank four
Y. Ohyama, S. Okumura
We will determine the condition that a homogeneous quadratic equation with rank four becomes the Darboux-Halphen-Brioshi system in terms of the associated non-associative algebra.