Iteration method for multiple Rogers-Ramanujan identities

Chu, Wenchang; Zhang, Wenlong

Kodai Math. J., Tome 32 (2009) no. 1, p. 471-500 / Harvested from Project Euclid

Résumé

Inspired by the recursive lemma due to Bressoud (1983), we present an iteration process for constructing transformations from unilateral multiple basic hypergeometric series to bilateral univariate one. Applications are illustrated to multiple series transformation formulae and multiple Rogers-Ramanujan identities.

Publié le : 2009-10-15
Classification:

@article{1257948891,
     author = {Chu, Wenchang and Zhang, Wenlong},
     title = {Iteration method for multiple Rogers-Ramanujan identities},
     journal = {Kodai Math. J.},
     volume = {32},
     number = {1},
     year = {2009},
     pages = { 471-500},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1257948891}
}

Chu, Wenchang; Zhang, Wenlong. Iteration method for multiple Rogers-Ramanujan identities. Kodai Math. J., Tome 32 (2009) no. 1, pp.  471-500. http://gdmltest.u-ga.fr/item/1257948891/