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.