On q -Middle Convolution and q -Hypergeometric Equations
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Published:2023-06-05
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Volume:
Page:
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ISSN:1815-0659
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Container-title:Symmetry, Integrability and Geometry: Methods and Applications
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language:
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Short-container-title:SIGMA
Author:
Arai Yumi, ,Takemura Kouichi,
Abstract
The q-middle convolution was introduced by Sakai and Yamaguchi. In this paper, we reformulate q-integral transformations associated with the q-middle convolution. In particular, we discuss convergence of the q-integral transformations. As an application, we obtain q-integral representations of solutions to the variants of the q-hypergeometric equation by applying the q-middle convolution.
Publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Subject
Geometry and Topology,Mathematical Physics,Analysis