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math.CA2025
Reformulation of -Middle Convolution and Applications
Yumi Arai, Kouichi Takemura
We reformulate the -convolution and the -middle convolution introduced by Sakai and Yamaguchi, and we introduce -analogues of the addition which is related to the gauge-tr…
math.CA2024
Solutions to variant of -hypergeometric equation of degree 2 associated with -middle convolution
Yumi Arai
We investigate the integral representations of solutions to the variant of -hypergeometric equation of degree 2 obtained through -middle convolution by using transformation f…
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…