33 citations · 339 across the 43 of their papers we have counts for
43 papers
On -Middle Convolution and -Hypergeometric Equations
Yumi Arai, Kouichi Takemura
The -middle convolution was introduced by Sakai and Yamaguchi. In this paper, we reformulate -integral transformations associated with the -middle convolution. In particul…
On symmetry of q-Painlevé equations and associated linear equations
Kouichi Takemura
We investigate the symmetry of the linear q-difference equations which are associated with some q-Painlevé equations. We apply it for adjustment of the expression of the time evolu…
-Middle Convolution and -Painlevé Equation
Shoko Sasaki, Shun Takagi, Kouichi Takemura
A -deformation of the middle convolution was introduced by Sakai and Yamaguchi. We apply it to a linear -difference equation associated with the -Painlevé VI equation. The…
q-Heun equation and initial-value space of q-Painlevé equation
Shoko Sasaki, Shun Takagi, Kouichi Takemura
We show that the q-Heun equation and its variants appear in the linear q-difference equations associated to some q-Painlevé equations by considering the blow-up associated to their…
Variants of confluent q-hypergeometric equations
Ryuya Matsunawa, Tomoki Sato, Kouichi Takemura
Variants of the q-hypergeometric equation were introduced in our previous paper with Hatano. In this paper, we consider degenerations of the variant of the q-hypergeometric equatio…
Variants of -hypergeometric equation
Naoya Hatano, Ryuya Matsunawa, Tomoki Sato +1
We introduce two variants of -hypergeometric equation. We obtain several explicit solutions of variants of -hypergeometric equation. We show that a variant of -hypergeomet…