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 6 ϕ 5 sum, the Ramanujan’s 1 ψ 1 sum and Bailey’s 6 ψ 6 sum.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
