18 citations · 19 across the 2 of their papers we have counts for
5 papers
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.…
The geometry of the classical solutions of the Garnier systems
Marta Mazzocco
Our aim is to find a general approach to the theory of classical solutions of the Garnier system in -variables, , based on the Riemann-Hilbert problem and on the geo…
Picard and Chazy solutions to the Painleve' VI equation
M. Mazzocco
I study the solutions of a particular family of Painlevé VI equations with the parameters and , for $2μ\in\interi$. I show that the case of half-integer…
Monodromy of certain Painleve' VI transcendents and reflection groups
B. Dubrovin, M. Mazzocco
We study the global analytic properties of the solutions of a particular family of Painleve' VI equations with the parameters , and arbitrary. We introduce…