On changing between bases of the space of representations of group \(\mathrm{SO}(2,2)\)

DOI10.1134/S0965542521080066zbMath1504.22023OpenAlexW3200760878MaRDI QIDQ822203

I. A. Shilin, Junesang Choi

Publication date: 21 September 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542521080066

zbMATH Keywords

\(_2 F_1\)Bessel function of second kindBessel-Clifford functiongroup \(SO(2, 2)\)matrix representation elementWhittaker function of second kind

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical linear algebra (65F99)

Cites Work

• Integral and series representations of special functions related to the group \(SO(2,2)\)
• Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz group
• On matrix elements of the SO(2,2)-representation in a space of functions on 2×4-matrices
• Certain connections between the spherical and hyperbolic bases on the cone and formulas for related special functions
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