The Endless Beta Integrals
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...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2020 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/210774 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Endless Beta Integrals. Gor A. Sarkissian and Vyacheslav P. Spiridonov. SIGMA 16 (2020), 074, 21 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | 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 symmetry transformations. Resulting functions are identified as hypergeometric functions over the field of complex numbers related to the SL(2, ℂ) group. A new, similar nontrivial hypergeometric degeneration of the Faddeev modular quantum dilogarithm (or hyperbolic gamma function) is discovered in the limit ω₁ → ω₂ (or → 1).
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| ISSN: | 1815-0659 |