On matrix elements of the SO(2,2)-representation in a space of functions on 2×4-matrices

DOI10.1080/10652469.2018.1489806zbMath1396.33012OpenAlexW2885987424MaRDI QIDQ5375940

I. A. Shilin, Junesang Choi

Publication date: 17 September 2018

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

Full work available at URL: https://doi.org/10.1080/10652469.2018.1489806

zbMATH Keywords

Bessel functionsmatrix conematrix elements of representationkernel of integral operatorgroup \(\mathrm{SO}(2,2)\)

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 (1)

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

Cites Work

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• Bessel functions of matrix argument
• Integral and series representations of special functions related to the group \(SO(2,2)\)
• Certain generating matrix relations of generalized Bessel matrix polynomials from the view point of Lie algebra method
• Double \(SO(2, 1)\)-integrals and formulas for Whittaker functions
• Some formulas for ordinary and hyper Bessel-Clifford functions related to the proper Lorentz group
• Special Functions of Matrix Argument. I: Algebraic Induction, Zonal Polynomials, and Hypergeometric Functions
• A FAMILY OF SERIES AND INTEGRALS INVOLVING WHITTAKER, BESSEL FUNCTIONS, AND THEIR PRODUCTS DERIVABLE FROM THE REPRESENTATION OF THE GROUP SO(2, 1)
• Certain connections between the spherical and hyperbolic bases on the cone and formulas for related special functions

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