On -Middle Convolution and -Hypergeometric Equations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Authors: Arai, Yumi, Takemura, Kouichi
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211906
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On -Middle Convolution and -Hypergeometric Equations. Yumi Arai and Kouichi Takemura. SIGMA 19 (2023), 037, 40 pages

The -middle convolution was introduced by Sakai and Yamaguchi. In this paper, we reformulate -integral transformations associated with the -middle convolution. In particular, we discuss the convergence of the -integral transformations. As an application, we obtain -integral representations of s...