The Endless Beta Integrals

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2020
• ISSN: 1815-0659
• Hauptverfasser: Sarkissian, Gor A., Spiridonov, Vyacheslav P.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/210774
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: The Endless Beta Integrals. Gor A. Sarkissian and Vyacheslav P. Spiridonov. SIGMA 16 (2020), 074, 21 pages

We consider a special degeneration limit ω₁ → −ω₂ (or → i in the context of 2 Liouville quantum field theory) for the most general univariate hyperbolic beta integral. This limit is also applied to the most general hyperbolic analogue of the Euler-Gauss hypergeometric function and its (₇) group of...