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arxiv: 0906.1870 · v1 · submitted 2009-06-10 · 🧮 math.CO

Shifted versions of the Bailey and well-poised Bailey lemmas

classification 🧮 math.CO
keywords baileyidentitieslemmarogers-ramanujanversionsshiftedtypewell-poised
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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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