Barnes-Ismagilov Integrals and Hypergeometric Functions of the Complex Field
We examine a family ₚ𝐺ᶜq[⁽ᵃ⁾₍b₎; 𝔃] of integrals of Mellin-Barnes type over the space ℤ × ℝ, such that functions 𝐺 naturally arise in the representation theory of the Lorentz group. We express ₚ𝐺ᶜq(𝔃) as quadratic expressions in the generalized hypergeometric functions ₚFq₋₁ and discuss further prop...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2020 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2020
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/210776 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Barnes-Ismagilov Integrals and Hypergeometric Functions of the Complex Field. Yury A. Neretin. SIGMA 16 (2020), 072, 20 pages |