Shifted versions of the Bailey and well-poised Bailey lemmas

Details Shifted versions of the Bailey and well-poised Bailey lemmas Shifted versions of the Bailey and well-poised Bailey lemmas

2009-06-10

arxiv.org/abs/0906.1870v1

Mathematics

Combinatorics

16 pages

Scientific paper

The Bailey lemma is a famous tool to prove Rogers-Ramanujan type identities.
We use shifted versions of the Bailey lemma to derive $m$-versions of multisum
Rogers-Ramanujan type identities. We also apply this method to the Well-Poised
Bailey lemma and obtain a new extension of the Rogers-Ramanujan identities.

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