16 citations · 47 across the 8 of their papers we have counts for
8 papers
Three -Painlevé equations with affine Weyl group symmetry of type
Hidehito Nagao, Yasuhiko Yamada
Three -Painlevé type equations are derived through degenerations of the -Painlevé equation with affine Weyl group symmetry of type -. The three -Painlevé typ…
Variations of -Garnier system
Hidehito Nagao, Yasuhiko Yamada
We study several variants of q-Garnier system corresponding to various directions of discrete time evolutions. We also investigate a relation between the -Garnier system and Suz…
The Padé interpolation method applied to additive difference Painlevé equations
Hidehito Nagao
We study Padé interpolation problems on an additive grid, related to additive difference (-) Painlevé equations of type , , and . By…
A Variation of the -Painlevé System with Affine Weyl Group Symmetry of Type
Hidehito Nagao
Recently a certain -Painlevé type system has been obtained from a reduction of the -Garnier system. In this paper it is shown that the -Painlevé type system is associated…
Lax pairs for additive difference Painlevé equations
Hidehito Nagao
A Lax pair for the additive difference Painlevé equation of type is explicitly obtained as certain linear difference equations of scalar form. The compatibility of the…
Study of -Garnier system by Padé method
Hidehito Nagao, Yasuhiko Yamada
We give a simple form of the evolution equation and a scalar Lax pair for the -Garnier system. Some reductions to the -Painlevé equations and the autonomous case as a general…
The Padé interpolation method applied to -Painlevé equations II (differential grid version)
Hidehito Nagao
Recently we studied Padé interpolation problems of -grid, related to -Painlevé equations of type , , , and . By…
The Padé interpolation method applied to -Painlevé equations
Hidehito Nagao
We establish interpolation problems related to all the -Painlevé equations of types from to . By solving those problems, we can derive the evolution…