Barnes-Ismagilov Integrals and Hypergeometric Functions of the Complex Field
We examine a family ₚᶜq[⁽ᵃ⁾₍b₎; ] of integrals of Mellin-Barnes type over the space ℤ × ℝ, such that functions naturally arise in the representation theory of the Lorentz group. We express ₚᶜq() as quadratic expressions in the generalized hypergeometric functions ₚFq₋₁ and discuss further propertie...
Gespeichert in:
| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2020 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2020
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/210776 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| 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 |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | We examine a family ₚᶜq[⁽ᵃ⁾₍b₎; ] of integrals of Mellin-Barnes type over the space ℤ × ℝ, such that functions naturally arise in the representation theory of the Lorentz group. We express ₚᶜq() as quadratic expressions in the generalized hypergeometric functions ₚFq₋₁ and discuss further properties of the functions ₚᶜq().
|
|---|---|
| ISSN: | 1815-0659 |