A New Method to Obtain Series for 1/π and 1/π2

DOI10.1080/10586458.2006.10128943zbMath1113.11076OpenAlexW2029822312MaRDI QIDQ3413600

Jesús Guillera

Publication date: 13 December 2006

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232605

zbMATH Keywords

Ramanujan-type series

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Evaluation of number-theoretic constants (11Y60)

Related Items

Infinite series identities derived from the very well-poised \(\Omega\)-sum, Eisenstein series and Ramanujan-type series for \(1 / \pi\), ON GUILLERA’S -SERIES FOR, Extensions of Ramanujan's two formulas for \(1/\pi\), Unnamed Item, Ramanujan's series for \(1/\pi \) arising from his cubic and quartic theories of elliptic functions, $q$-analogues of several $\pi $-formulas, Dougall’s bilateral ₂𝐻₂-series and Ramanujan-like 𝜋-formulae, Extensions of the classical theorems for very well-poised hypergeometric functions, Ramanujan's Eisenstein series and new hypergeometric-like series for \(1/\pi ^{2}\), Accelerating Dougall’s $_5F_4$-sum and infinite series involving $\pi $, Hypergeometric-like series for \(1 / \pi^2\) arising from Ramanujan's quartic theory of elliptic functions