This material has been published in
"Symmetries in Science XI," B. Gruber, G. Marmo,
N. Yoshinaga, eds., Kluwer, Dordrecht, 2004, pp. 355-376,
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On group theoretical aspects
and symmetries of angular momentum coefficients
In this article we present a review of the work on
group theory of ordinary and basic hypergeometric transformations. We show
that an application of the transformations of ordinary hypergeometric series
relates the 6-j coefficient to sets of
very-well-poised 7F6(1) series.
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