The q-WZ Method for Infinite Series

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dc.creatorChen, William Y. C.
dc.creatorXia, Ernest X. W.
dc.date2008-06-16
dc.date.accessioned2026-07-07T09:44:47Z
dc.date.available2026-07-07T09:44:47Z
dc.descriptionMotivated by the telescoping proofs of two identities of Andrews and Warnaar, we find that infinite q-shifted factorials can be incorporated into the implementation of the q-Zeilberger algorithm in the approach of Chen, Hou and Mu to prove nonterminating basic hypergeometric series identities. This observation enables us to extend the q-WZ method to identities on infinite series. As examples, we will give the q-WZ pairs for some classical identities such as the q-Gauss sum, the $_6ϕ_5$ sum, Ramanujan's $_1ψ_1$ sum and Bailey's $_6ψ_6$ sum.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0806.2491
dc.identifierhttp://arxiv.org/abs/0806.2491
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162994
dc.subjectCombinatorics
dc.titleThe q-WZ Method for Infinite Series
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