3 citations · 3 across the 1 of their papers we have counts for
2 papers
math.CA2016★ 3 cited
On two-parameter solutions of simultaneous ultradiscrete Painleve II equation with parity variables
Hikaru Igarashi, Kouichi Takemura
We introduce a simultaneous ultradiscrete Painleve II equation with parity variables, which is shown to be more suitable for studying two-parameter solutions than the single second…
math.CA2015
New Airy-type solutions of the ultradiscrete Painleve II equation with parity variables
Hikaru Igarashi, Shin Isojima, Kouichi Takemura
The q-difference Painleve II equation admits special solutions written in terms of determinant whose entries are the general solution of the q-Airy equation. An ultradiscrete limit…