The q-Borel Sum of Divergent Basic Hypergeometric Series ᵣφₛ(a; b; q, x)

We study the divergent basic hypergeometric series, which is a q-analog of divergent hypergeometric series. This series formally satisfies the linear q-difference equation. In this paper, for that equation, we give an actual solution which admits basic hypergeometric series as a q-Gevrey asymptotic...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2019
Main Author: Adachi, S.
Format: Article
Language:English
Published: Інститут математики НАН України 2019
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210059
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The q-Borel Sum of Divergent Basic Hypergeometric Series ᵣφₛ(a; b; q, x) / S. Adachi // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 14 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine