On some relations between hyper Bessel–Clifford, Macdonald and Meijer functions and hyper Hankel–Clifford integral transforms

DOI10.1080/10652469.2023.2191320MaRDI QIDQ6169222

I. A. Shilin, Junesang Choi

Publication date: 14 August 2023

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

zbMATH Keywords

generalized hypergeometric functionLorentz groupMeijer's G-functionshyper Bessel-Clifford functions

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Analysis on real and complex Lie groups (22E30) Integral transforms of special functions (44A20) Structure and representation of the Lorentz group (22E43) Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (1)

On Buschman-Erdelyi and Mehler-Fock transforms related to the group 𝑆𝑂0(3, 1)

Cites Work

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• Maximal subalgebras in \(\mathfrak{s}\mathfrak{o}(2,1)\), addition theorems and Bessel-Clifford functions
• Exact solution for the reflection and diffraction of atomic de Broglie waves by a travelling evanescent laser wave

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