Аннотация:We derive a beta-integral over $\mathbb Z\times \mathbb R$, which is a counterpart of the Dougall $5_H_5$-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).