Some binomial series obtained by the WZ-method

2005/03/16 by Jesus Guillera · 3 citations
Mathematics · #math.NT #math.CO #msc:33C20

paper · pdf

published as Advances in Applied Mathematics 29 (2002) 599-603

arxiv created 2005/03/16 · arxiv updated 2009/12/01

Abstract

Using the WZ-method we find some of the easiest Ramanujan's formulae and also some new interesting Ramanujan-like sums.

Cited by

• q-analogues of π-formulas due to Ramanujan and Guillera
• Finding congruences with the WZ method
• An iterative approach toward hypergeometric accelerations

Related

• WZ proofs of Ramanujan-type series (via ₂F₁ evaluations)
• A new Ramanujan-like series for 1/π²
• WZ-proofs of "divergent" Ramanujan-type series
• WZ pairs and q-Analogues of Ramanujan series for 1/π (with an appendix by Wadim Zudilin)
• Finding congruences with the WZ method