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

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2019
• 1. Verfasser: Adachi, S.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут математики НАН України 2019
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/210059
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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.

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...