## An analog of the Dougall formula and of the de Branges–Wilson integralстатья

Статья опубликована в журнале из списка Web of Science и/или Scopus
• Автор:
• Журнал: Ramanujan Journal
• Год издания: 2020
• 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).
 [1] Neretin Y. A. An analog of the dougall formula and of the de branges–wilson integral // Ramanujan Journal. — 2020. We derive a beta-integral over $mathbb Ztimes mathbb R$, 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). [ DOI ]