Integral and series representations of special functions related to the group \(SO(2,2)\)

DOI10.1007/s11139-016-9799-8zbMath1379.33010OpenAlexW2464516252WikidataQ57633175 ScholiaQ57633175MaRDI QIDQ1688191

I. A. Shilin, Junesang Choi

Publication date: 5 January 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-016-9799-8

zbMATH Keywords

Bessel functionsWhittaker functionPoisson transformationgeneralized hypergeometric functions \(_pF_q\)matrix elements of representationspecial orthogonal group \(SO(s, t)\)

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 (3)

On changing between bases of the space of representations of group \(\mathrm{SO}(2,2)\) ⋮ On matrix elements of the SO(2,2)-representation in a space of functions on 2×4-matrices ⋮ A FAMILY OF SERIES AND INTEGRALS INVOLVING WHITTAKER, BESSEL FUNCTIONS, AND THEIR PRODUCTS DERIVABLE FROM THE REPRESENTATION OF THE GROUP SO(2, 1)

Cites Work

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• Certain connections between the spherical and hyperbolic bases on the cone and formulas for related special functions
• Mittag-Leffler Functions, Related Topics and Applications
• REPRESENTATIONS OF PSEUDO-ORTHOGONAL GROUPS ASSOCIATED WITH A CONE

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