  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).
