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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2020 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2020
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210776 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Barnes-Ismagilov Integrals and Hypergeometric Functions of the Complex Field. Yury A. Neretin. SIGMA 16 (2020), 072, 20 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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 properties of the functions ₚ𝐺ᶜq(𝔃).
|
|---|---|
| ISSN: | 1815-0659 |