Barnes-Ismagilov Integrals and Hypergeometric Functions of the Complex Field

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dc.contributor.authorNeretin, Yury A.
dc.date.accessioned2025-12-17T14:36:42Z
dc.date.issued2020
dc.description.abstractWe examine a family ₚ𝐺ᶜq[⁽ᵃ⁾₍b₎; 𝔃] of integrals of Mellin-Barnes type over the space ℤ × ℝ, such that functions 𝐺 naturally arise in the representation theory of the Lorentz group. We express ₚ𝐺ᶜq(𝔃) as quadratic expressions in the generalized hypergeometric functions ₚFq₋₁ and discuss further properties of the functions ₚ𝐺ᶜq(𝔃).
dc.description.sponsorshipThe work was supported by the grant FWF, P31591. I am grateful to M.I. Graev, V.F. Molchanov, V.A. Spiridonov, and S.E. Derkachov for discussions and references. I also thank the referees for their useful comments.
dc.identifier.citationBarnes-Ismagilov Integrals and Hypergeometric Functions of the Complex Field. Yury A. Neretin. SIGMA 16 (2020), 072, 20 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2020.072
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 33C20;33C70;22E43
dc.identifier.otherarXiv:1910.10686
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210776
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleBarnes-Ismagilov Integrals and Hypergeometric Functions of the Complex Field
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2020, том 16, випуск за цей рік