Double \(SO(2, 1)\)-integrals and formulas for Whittaker functions

DOI10.3103/S1066369X12050064zbMath1264.33009OpenAlexW2023317791WikidataQ57633193 ScholiaQ57633193MaRDI QIDQ1759279

I. A. Shilin

Publication date: 20 November 2012

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x12050064

zbMATH Keywords

integral transformWhittaker functionsgroup \(SO(2,1)\)

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (6)

Maximal subalgebras in \(\mathfrak{s}\mathfrak{o}(2,1)\), addition theorems and Bessel-Clifford functions ⋮ On matrix elements of the SO(2,2)-representation in a space of functions on 2×4-matrices ⋮ Some connections between the spherical and parabolic bases on the cone expressed in terms of the Macdonald function ⋮ Certain relations between Bessel and Whittaker functions related to some diagonal and block-diagonal 3\times3-matrices ⋮ Certain connections between the spherical and hyperbolic bases on the cone and formulas for related special functions ⋮ Method of continual addition theorems and integral relations between the Coulomb functions and the Appell function \(F_1\)

Cites Work

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