The q-WZ Method for Infinite Series

Details The q-WZ Method for Infinite Series The q-WZ Method for Infinite Series

2008-06-16

arxiv.org/abs/0806.2491v1

Mathematics

Combinatorics

17 pages

Scientific paper

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. As examples, we will give the q-WZ pairs for some classical identities such as the q-Gauss sum, the $_6\phi_5$ sum, Ramanujan's $_1\psi_1$ sum and Bailey's $_6\psi_6$ sum.

Affiliated with

Also associated with

No associations

Rating

The q-WZ Method for Infinite Series does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The q-WZ Method for Infinite Series, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The q-WZ Method for Infinite Series will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-91445