Geodesic
The Triple, Quintuple and Septuple Product Identities Revisited
Séminaire lotharingien de combinatoire, Tome 42 (1998-1999)
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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. 

@article{SLC_1998-1999_42_a15,
     author = {D. Foata and G.-N. Han},
     title = {The {Triple,} {Quintuple} and {Septuple} {Product} {Identities} {Revisited}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {1998-1999},
     volume = {42},
     url = {http://geodesic.mathdoc.fr/item/SLC_1998-1999_42_a15/}
}
TY  - JOUR
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TI  - The Triple, Quintuple and Septuple Product Identities Revisited
JO  - Séminaire lotharingien de combinatoire
PY  - 1998-1999
VL  - 42
UR  - http://geodesic.mathdoc.fr/item/SLC_1998-1999_42_a15/
ID  - SLC_1998-1999_42_a15
ER  - 
%0 Journal Article
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%A G.-N. Han
%T The Triple, Quintuple and Septuple Product Identities Revisited
%J Séminaire lotharingien de combinatoire
%D 1998-1999
%V 42
%U http://geodesic.mathdoc.fr/item/SLC_1998-1999_42_a15/
%F SLC_1998-1999_42_a15
D. Foata; G.-N. Han. The Triple, Quintuple and Septuple Product Identities Revisited. Séminaire lotharingien de combinatoire, Tome 42 (1998-1999). http://geodesic.mathdoc.fr/item/SLC_1998-1999_42_a15/