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arXiv · 1812.07341

An analog of the Dougall formula and of the de Branges--Wilson integral

Yury A. Neretin
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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).

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Yury A. Neretin. 2019-06-25. An analog of the Dougall formula and of the de Branges--Wilson integral. https://doi.org/10.1007/s11139-019-00218-0

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