On the triple sum formula for Wigner 9j-symbols

DOI10.1063/1.532634zbMath0935.81036OpenAlexW2008764661MaRDI QIDQ4701596

Hjalmar Rosengren

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532634

zbMATH Keywords

coupling kernelstriple sum formulaWigner \(9j\)-symbols

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of group representations to physics and other areas of science (20C35)

Related Items (8)

The multiple sum formulas for 12j coefficients of SU(2) and uq(2) ⋮ Realizations of coupled vectors in the tensor product of representations of \(\mathfrak{su}(1,1)\) and \(\mathfrak{su}(2)\) ⋮ The triple sum formulas for 9j coefficients of SU(2) and uq(2) ⋮ Transformation formulas for double hypergeometric series related to 9-j coefficients and their basic analogs ⋮ Hypergeometric series related to the \(9-j\) coefficient of \({\mathfrak{su}}(1,1)\) ⋮ A \(q\)-analogue of the 9-\(j\) symbols and their orthogonality ⋮ The higher transvectants are redundant ⋮ Another proof of the triple sum formula for Wigner 9j-symbols

Cites Work

• Transformation and summation formulas for double hypergeometric series
• A new Fortran program for the 9-\(j\) angular momentum coefficient
• Transformation and summation formulas for Kampé de Fériet series \(F^{0:3}_{1:1} (1,1)\)
• A note on the triple sum series for the 9j coefficient
• Polynomial zeros of the 9-j coefficient
• Multilinear Hankel forms of higher order and orthogonal polynomials
• Induced module construction for highest-weight representations of U_q(gl(n)) at roots of unity
• Hypergeometric Functions with Integral Parameter Differences
• Weight Lowering Operators and the Multiplicity-Free Isoscalar Factors for the Group R5

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