Barnes-Ismagilov integrals and hypergeometric functions of the complex field

DOI10.3842/SIGMA.2020.072zbMath1456.33008arXiv1910.10686MaRDI QIDQ2217947

Yuriĭ A. Neretin

Publication date: 12 January 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.10686

zbMATH Keywords

Mellin transformhypergeometric functionsLorentz groupMellin-Barnes integrals

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Structure and representation of the Lorentz group (22E43) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (6)

The Gelfand–Tsetlin basis for infinite-dimensional representations of gln(C) ⋮ Mellin-Barnes representation for \(\mathrm{SL} (2, \mathbb{C} ) \)-magnet ⋮ Mellin-Barnes transformation for two-loop master-diagram ⋮ The endless beta integrals ⋮ Elliptic hypergeometric function and $6j$-symbols for the SL(2,$\mathbb{C}$) group ⋮ On complex gamma-function integrals

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