WZ-Proofs of “Divergent” Ramanujan-Type Series

Jesús Guillera ()

A chapter in Advances in Combinatorics, 2013, pp 187-195 from Springer

Abstract: Abstract We prove some “divergent” Ramanujan-type series for $$1/\pi$$ and $$1{/\pi }^{2}$$ applying a Barnes-integrals strategy of the WZ-method. In addition, in the last section, we apply the WZ-duality technique to evaluate some convergent related series.

Keywords: Hypergeometric series; WZ-method; Ramanujan-type series for $$1/\pi$$ and $$1{/\pi }^{2}$$; Barnes integrals (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-30979-3_10

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DOI: 10.1007/978-3-642-30979-3_10

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