Abstract

Observations on the symmetries of the Racah coefficient are made in terms of its three allowed series representations. The Bailey’s transform between the two terminating Saalschutzian 4F3(1) series, when applied to the 4F3(1) representation for the Racah coefficient, is shown to result (at best) in the allowed substitution j → −j −1 for any one of the six angular momenta in the Racah coefficient.

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