Method of continual addition theorems and integral relations between the Coulomb functions and the Appell function \(F_1\)

DOI10.1134/S0965542522090068OpenAlexW4298621157WikidataQ115030225 ScholiaQ115030225MaRDI QIDQ2088680

Junesang Choi, I. A. Shilin

Publication date: 6 October 2022

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

Full work available at URL: https://doi.org/10.1134/s0965542522090068

zbMATH Keywords

group representationCoulomb wave functionsAppell function \({{F}_1}\)Fourier-Mellin-type integral transformkernel of integral operatorthree-dimensional proper Lorentz group

Mathematics Subject Classification ID

Special functions (33-XX) Quantum theory (81-XX)

Related Items (3)

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

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• Some Series and Bounds for Incomplete Elliptic Integrals

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