March 3, 2026

Construction of WZ pairs by the extended Zeilberger algorithm

Key Points

Eleven distinct WZ pairs were constructed using the extended Zeilberger algorithm techniques, showcasing the versatility of this approach.
Key evidence includes the effective application of the method to establish WZ pairs linked to the identity from Van Hamme.
This analysis employs the extended Zeilberger algorithm to create specific mathematical structures known as WZ pairs.
Implications suggest that the approach may lead to further exploration in generating more complex q-analogues in mathematical literature.

Abstract

Abstract We introduce a method for constructing WZ (Wilf-Zeilberger) pairs using the extended Zeilberger algorithm. With this approach, we are able to give eleven WZ pairs corresponding to the identity (H.1) due to Van Hamme. Furthermore, we describe a technique for generating q -analogues of these WZ pairs.

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Authors

Feng-Xin Ding

Yan-Ping Mu

Journals

Mathematica Slovaca

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Institutions

Tianjin University of Science and Technology

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Building similarity graph...

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Construction of WZ pairs by the extended Zeilberger algorithm

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Authors

Journals

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion

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