18 citations · 20 across the 3 of their papers we have counts for
3 papers
nlin.SI2005★ 2 cited
Bäcklund transformations for fourth Painlevé hierarchies
Pilar R. Gordoa, Nalini Joshi, Andrew Pickering
Bäcklund transformations (BTs) for ordinary differential equations (ODEs), and in particular for hierarchies of ODEs, are a topic of great current interest. Here we give an improve…
math.CA2004
The Dirichlet Boundary Value Problem for Real Solutions of the first Painlevé Equation on Segments on Non-Positive Semi-Axis
N. Joshi, A. V. Kitaev
We develop a qualitative theory for real solutions of the equation . In this work a restriction is assumed. An important ingredient of our theory is the intro…
nlin.SI2004★ 18 cited
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…