Four classes of Rogers–Ramanujan identities with quintuple products
Chu, Wenchang ; Zhang, Wenlong
Hiroshima Math. J., Tome 41 (2011) no. 1, p. 27-40 / Harvested from Project Euclid
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Combining the finite form of Jacobi’s triple product identity with the $q$-Gauss summation theorem, we present a new and unified proof for the two transformation lemmas due to Andrews (1981). The same approach is then utilized to establish two further transformations from unilateral to bilateral series. They are employed to review forty identities of Rogers–Ramanujan type with quintuple products.
Publié le : 2011-03-15
Classification:  Basic hypergeometric series,  the q-Gauss summation theorem,  Jacobi’s triple product identity,  quintuple product identity,  identities of Rogers–Ramanujan type,  33D15,  05A15 
@article{1301586288,
     author = {Chu, Wenchang and Zhang, Wenlong},
     title = {Four classes of Rogers--Ramanujan identities with quintuple products},
     journal = {Hiroshima Math. J.},
     volume = {41},
     number = {1},
     year = {2011},
     pages = { 27-40},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1301586288}
}

Chu, Wenchang; Zhang, Wenlong. Four classes of Rogers–Ramanujan identities with quintuple products. Hiroshima Math. J., Tome 41 (2011) no. 1, pp.  27-40. http://gdmltest.u-ga.fr/item/1301586288/