Two complex gamma-function integral identities are proved directly and shown to imply star-triangle relations and the Dotsenko-Fateev duality in a classical limit.
An analog of the Dougall formula and of the de Branges--Wilson integral
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We derive a beta-integral over $\mathbb{Z}\times \mathbb{R}$ , which is a counterpart of the Dougall $_5H_5$-formula and of the de Branges--Wilson integral, our integral includes $_{10}H_{10}$-summation. For a derivation we use a two-dimensional integral transform related to representations of the Lorentz group, this transform is a counterpart of the Olevskii index transform (a synonym: Jacobi transform).
fields
math-ph 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On Complex Gamma-Function Integrals
Two complex gamma-function integral identities are proved directly and shown to imply star-triangle relations and the Dotsenko-Fateev duality in a classical limit.