Nobutaka Nakazono

activity

20102016

most citedGeometric Reductions of ABS equations on an

n

-cube to discrete Painlevé systems

13 citations · 23 across the 3 of their papers we have counts for

collaborators

3 papers

nlin.SI2016★ 2 cited

Hypergeometric $τ$ Functions of the $q$ -Painlevé Systems of Types $A_{4}^{(1)}$ and $(A_{1} + A_{1}^{'})^{(1)}$

Nobutaka Nakazono

We consider $q$ -Painlevé equations arising from birational representations of the extended affine Weyl groups of $A_{4}^{(1)}$ - and $(A_{1} + A_{1})^{(1)}$ -types. We study their hypergeome…

nlin.SI2014★ 13 cited

Geometric Reductions of ABS equations on an $n$ -cube to discrete Painlevé systems

Nalini Joshi, Nobutaka Nakazono, Yang Shi

In this paper, we show how to relate $n$ -dimensional cubes on which ABS equations hold to the symmetry groups of discrete Painlevé equations. We here focus on the reduction from th…

nlin.SI2010★ 8 cited

Hypergeometric $τ$ Function of the $q$ -Painlevé Systems of Type $(A_{2} + A_{1})^{(1)}$

Nobutaka Nakazono

We consider a $q$ -Painlevé III equation and a $q$ -Painlevé II equation arising from a birational representation of the affine Weyl group of type $(A_{2} + A_{1})^{(1)}$ . We study their h…

Hypergeometric τ Functions of the q-Painlevé Systems of Types A4(1)​ and (A1​+A1′​)(1)

Geometric Reductions of ABS equations on an n-cube to discrete Painlevé systems

Hypergeometric τ Function of the q-Painlevé Systems of Type (A2​+A1​)(1)

Hypergeometric $τ$ Functions of the $q$ -Painlevé Systems of Types $A_{4}^{(1)}$ and $(A_{1} + A_{1}^{'})^{(1)}$

Geometric Reductions of ABS equations on an $n$ -cube to discrete Painlevé systems

Hypergeometric $τ$ Function of the $q$ -Painlevé Systems of Type $(A_{2} + A_{1})^{(1)}$