35 citations · 84 across the 6 of their papers we have counts for
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A remark on the Hankel determinant formula for solutions of the Toda equation
Kenji Kajiwara, Marta Mazzocco, Yasuhiro Ohta
We consider the Hankel determinant formula of the functions of the Toda equation. We present a relationship between the determinant formula and the auxiliary linear problem, wh…
The Hamiltonian Structure of the Second Painleve Hierarchy
Marta Mazzocco, Man Yue Mo
In this paper we study the Hamiltonian structure of the second Painleve hierarchy, an infinite sequence of nonlinear ordinary differential equations containing PII as its simplest…
Generating Function Associated with the Hankel Determinant Formula for the Solutions of the Painlevé IV Equation
Nalini Joshi, Kenji Kajiwara, Marta Mazzocco
We consider a Hankel determinant formula for generic solutions of the Painlevé IV equation. We show that the generating functions for the entries of the Hankel determinants are rel…
Generating Function Associated with the Determinant Formula for the Solutions of the Painleve' II Equation
Nalini Joshi, Kenji Kajiwara, Marta Mazzocco
In this paper we consider a Hankel determinant formula for generic solutions of the Painleve' II equation. We show that the generating functions for the entries of the Hankel deter…
Irregular isomonodromic deformations for Garnier systems and Okamoto's canonical transformations
M. Mazzocco
In this paper we describe the Garnier systems as isomonodromic deformation equations of a linear system with a simple pole at zero and a Poincaré rank two singularity at infinity.…