Maximal subalgebras in \(\mathfrak{s}\mathfrak{o}(2,1)\), addition theorems and Bessel-Clifford functions

DOI10.1007/s41478-022-00435-9OpenAlexW4288949336WikidataQ113891120 ScholiaQ113891120MaRDI QIDQ2692673

Junesang Choi, I. A. Shilin

Publication date: 22 March 2023

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-022-00435-9

zbMATH Keywords

maximal abelian subalgebraaddition theoremmaximal nilpotent subalgebraCoulomb wave functionsBessel-Clifford functionscarries spaceLie algebra \(\mathfrak{s}\mathfrak{o}(2,1)\)

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (2)

On some relations between hyper Bessel–Clifford, Macdonald and Meijer functions and hyper Hankel–Clifford integral transforms ⋮ On Buschman-Erdelyi and Mehler-Fock transforms related to the group 𝑆𝑂0(3, 1)

Uses Software

• DLMF

Cites Work

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• Singular differential operators with r-1 parameters and Bessel functions of vector index
• A pair of generalized Hankel-Clifford transformations and their applications
• Double \(SO(2, 1)\)-integrals and formulas for Whittaker functions
• Method of continual addition theorems and integral relations between the Coulomb functions and the Appell function \(F_1\)
• Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz group
• Some formulas for ordinary and hyper Bessel-Clifford functions related to the proper Lorentz group
• Certain relations between Bessel and Whittaker functions related to some diagonal and block-diagonal 3\times3-matrices

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