-Middle Convolution and -Painlevé Equation

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. Then we obtain integral transformations. We investigate the -middle convolution in terms of the affine Weyl group symmetry of the -P...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2022
Main Authors: Sasaki, Shoko, Takagi, Shun, Takemura, Kouichi
Format: Article
Language:English
Published: Інститут математики НАН України 2022
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211731
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:-Middle Convolution and -Painlevé Equation. Shoko Sasaki, Shun Takagi and Kouichi Takemura. SIGMA 18 (2022), 056, 21 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine