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math.CA2022★ 1 cited
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…
math.CA2022
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…
math.CA2022★ 2 cited
-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…