18 citations · 88 across the 23 of their papers we have counts for
4 papers · 1 filter
Geometric description of discrete power function associated with the sixth Painlevé equation
Nalini Joshi, Kenji Kajiwara, Tetsu Masuda +2
In this paper, we consider the discrete power function associated with the sixth Painlevé equation. This function is a special solution of the so-called cross-ratio equation with a…
Elliptic Painlevé equations from next-nearest-neighbor translations on the lattice
Nalini Joshi, Nobutaka Nakazono
The well known elliptic discrete Painlevé equation of Sakai is constructed by a standard translation on the lattice, given by nearest neighbor vectors. In this paper, w…
Lattice equations arising from discrete Painlevé systems. II. case
Nalini Joshi, Nobutaka Nakazono, Yang Shi
In this paper, we construct two lattices from the functions of -surface -Painlevé equations, on which quad-equations of ABS type appear. Moreover, using the reduc…
Lax pairs of discrete Painlevé equations: case
Nalini Joshi, Nobutaka Nakazono
In this paper, we provide a comprehensive method for constructing Lax pairs of discrete Painlevé equations by using a reduced hypercube structure. In particular, we consider the $A…