The triple sum formulas for 9j coefficients of SU(2) and uq(2)

DOI10.1063/1.1312198zbMath0979.81049arXivmath/9912142OpenAlexW2156474009MaRDI QIDQ2738272

S. I. Ališauskas

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/math/9912142

zbMATH Keywords

Kampé de Fériet functionsChu-Vandermonde summation formulasDougall's summation formulahypergeometric \(_5\varphi_4\) seriesWigner \(9j\) coefficients

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Other basic hypergeometric functions and integrals in several variables (33D70)

Related Items (2)

The multiple sum formulas for 12j coefficients of SU(2) and uq(2) ⋮ Transformation formulas for double hypergeometric series related to 9-j coefficients and their basic analogs

Uses Software

• NINEJ

Cites Work

• Transformations of single and double hypergeometric series from the triple sum series for the 9-\(j\) coefficients
• A new Fortran program for the 9-\(j\) angular momentum coefficient
• Transformation and summation formulas for Kampé de Fériet series \(F^{0:3}_{1:1} (1,1)\)
• Relations for Clebsch–Gordan and Racah coefficients in suq(2) and Yang–Baxter equations
• A note on the triple sum series for the 9j coefficient
• Polynomial zeros of the 9-j coefficient
• On Clebsch–Gordan coefficients and matrix elements of representations of the quantum algebra U q(su2)
• The dual Hahnq-polynomials in the lattice and theq-algebras and
• Overlaps of the biorthogonal (3) coupling coefficients and related basic hypergeometric and otherq-factorial series
• From canonical tensor operators of SU(3) and (3) to bi-orthogonal coupling coefficients: explicit expansion
• Basic Hypergeometric Functions and the Borel–Weil Construction for $U_q (3)$
• Towards the canonical tensor operators of uq(3). II. The denominator function problem
• Another proof of the triple sum formula for Wigner 9j-symbols
• On the triple sum formula for Wigner 9j-symbols
• Towards the canonical tensor operators of u q(3). I. The maximal null space case
• Multiplicity-free u_q(n) coupling coefficients
• Stretched 9-j coefficients and summation theorems
• Multiple hypergeometric functions and 9-j coefficients
• Substitution Group and the Stretched Isoscalar Factors for the Group R5
• Hypergeometric Functions with Integral Parameter Differences
• Erratum: Weight Lowering Operators and the Multiplicity-Free Isoscalar Factors for the Group R5
• On the Symmetric Tensor Operators of the Unitary Groups

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