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- W1994849056 abstract "Motivated 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. We give the q-WZ pairs for some classical identities such as the q-Gauss sum, the 6ϕ5 sum, the Ramanujan’s 1ψ1 sum and Bailey’s 6ψ6 sum." @default.
- W1994849056 created "2016-06-24" @default.
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- W1994849056 date "2009-08-01" @default.
- W1994849056 modified "2023-09-23" @default.
- W1994849056 title "The <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:mi>q</mml:mi></mml:math>-WZ method for infinite series" @default.
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- W1994849056 doi "https://doi.org/10.1016/j.jsc.2008.11.005" @default.
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