Expansion formulas for terminating balanced \(_{4} F_{3}\)-series from the Biedenharn--Elliot identity for \(\mathfrak{su}(1,1)\)

DOI10.1016/j.cam.2003.12.033zbMath1061.33004OpenAlexW2156610217MaRDI QIDQ1877186

Stijn Lievens

Publication date: 16 August 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.12.033

zbMATH Keywords

Hypergeometric seriesBiedenharn-Elliot identityExpansion formulaInvariance group

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Generalized hypergeometric series, ({}_pF_q) (33C20) Basic hypergeometric integrals and functions defined by them (33D60) Appell, Horn and Lauricella functions (33C65)

Related Items (1)

Invariance groups of three term transformations for basic hypergeometric series

Cites Work

• Hypergeometric series related to the \(9-j\) coefficient of \({\mathfrak{su}}(1,1)\)
• Lie theory and special functions
• Group theoretical basis of some identities for the generalized hypergeometric series
• Coupling coefficients for Lie algebra representations and addition formulas for special functions
• Convolutions for Orthogonal Polynomials from Lie and Quantum Algebra Representations
• Invariance groups of transformations of basic hypergeometric series
• 3nj-coefficients of su(1,1) as connection coefficients between orthogonal polynomials in n variables
• Theoretical studies in nuclear structure V. The matrix elements of non-central forces with an application to the 2 p -shell
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Expansion formulas for terminating balanced \(_{4} F_{3}\)-series from the Biedenharn--Elliot identity for \(\mathfrak{su}(1,1)\)