This material has been published in "Symmetries in Science XI," B. Gruber, G. Marmo, N. Yoshinaga, eds., Kluwer, Dordrecht, 2004, pp. 355-376, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by Kluwer Publ. This material may not be copied or reposted without explicit permission.

K. Srinivasa Rao and Christian Krattenthaler

On group theoretical aspects and symmetries of angular momentum coefficients

(11 pages)

Abstract. 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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