Hypergeometric series related to the \(9-j\) coefficient of \({\mathfrak{su}}(1,1)\)
From MaRDI portal
Publication:1571028
DOI10.1016/S0377-0427(00)00297-1zbMath0955.33007MaRDI QIDQ1571028
Publication date: 4 March 2001
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Generalized hypergeometric series, ({}_pF_q) (33C20) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)
Related Items (3)
Expansion formulas for terminating balanced \(_{4} F_{3}\)-series from the Biedenharn--Elliot identity for \(\mathfrak{su}(1,1)\) ⋮ Realizations of coupled vectors in the tensor product of representations of \(\mathfrak{su}(1,1)\) and \(\mathfrak{su}(2)\) ⋮ Transformation formula for a double Clausenian hypergeometric series, its \(q\)-analogue, and its invariance group
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Transformation and summation formulas for double hypergeometric series
- A note on the convergence of certain families of multiple hypergeometric series
- 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
- New construction of 3nj-symbols
- Coupling coefficients for Lie algebra representations and addition formulas for special functions
- Convolutions for Orthogonal Polynomials from Lie and Quantum Algebra Representations
- On the triple sum formula for Wigner 9j-symbols
- Multiple hypergeometric functions and 9-j coefficients
- Weight Lowering Operators and the Multiplicity-Free Isoscalar Factors for the Group R5
- A Note on the Convergence of KAMPÉ DE FÉRIET's Double Hypergeometric Series
This page was built for publication: Hypergeometric series related to the \(9-j\) coefficient of \({\mathfrak{su}}(1,1)\)
