Transformation formulas for double hypergeometric series related to 9-j coefficients and their basic analogs

DOI10.1063/1.1405126zbMath1057.33012OpenAlexW1963692503MaRDI QIDQ2774737

Stijn Lievens, Joris Van der Jeugt

Publication date: 26 February 2002

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

Full work available at URL: https://doi.org/10.1063/1.1405126

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (5)

Some results for \(q\)-functions of many variables ⋮ Expansions over Legendre polynomials and infinite double series identities ⋮ Reduction and summation formulae for semi-terminating \(q\)-Kampé de Fériet series ⋮ Bivariate classical and \(q\)-series transformations ⋮ A Method for q-Calculus

Cites Work

• A note on the convergence of certain families of multiple hypergeometric series
• A new Fortran program for the 9-\(j\) angular momentum coefficient
• Transformation and summation formulas for Kampé de Fériet series \(F^{0:3}_{1:1} (1,1)\)
• The triple sum formulas for 9j coefficients of SU(2) and uq(2)
• Overlaps of the biorthogonal (3) coupling coefficients and related basic hypergeometric and otherq-factorial series
• Invariance groups of transformations of basic hypergeometric series
• Another proof of the triple sum formula for Wigner 9j-symbols
• On the triple sum formula for Wigner 9j-symbols
• Stretched 9-j coefficients and summation theorems
• Multiple hypergeometric functions and 9-j coefficients
• Weight Lowering Operators and the Multiplicity-Free Isoscalar Factors for the Group R5

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