Séminaire Lotharingien de Combinatoire, B42o (1999), 12 pp.

D. Foata, G.-N. Han

The Triple, Quintuple and Septuple Product Identities Revisited

Abstract. This paper takes up again the study of the Jacobi triple and Watson quintuple identities that have been derived combinatorially in several manners in the classical literature. It also contains a proof of the recent Farkas-Kra septuple product identity that makes use only of "manipulatorics" methods.

Received: December 17, 1998; Accepted: May 10, 1999.

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