\(q\)-series reciprocities and further \(\pi\)-formulae

DOI10.2996/KMJ/1540951251zbMath1408.33017OpenAlexW2899038509MaRDI QIDQ1756005

Chu, Wenchang

Publication date: 11 January 2019

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kmj/1540951251

zbMATH Keywords

well-poised seriesinfinite series of Ramanujan-typecubic seriesquadratic seriesreciprocal relation of \(q\)-series

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Generalized hypergeometric series, ({}_pF_q) (33C20) Numerical summation of series (65B10)

Related Items (7)

Infinite series identities derived from the very well-poised \(\Omega\)-sum ⋮ Hidden \(q\)-analogues of Ramanujan-like \(\pi\)-series ⋮ Infinite series about harmonic numbers inspired by Ramanujan-like formulae ⋮ Unnamed Item ⋮ Ramanujan-like formulae for \(\pi\) and \(1/\pi\) via Gould-Hsu inverse series relations ⋮ Some \(q\)-supercongruences from a quadratic transformation by Rahman ⋮ q-Analogues of Guillera’s two series for π±2 with convergence rate 27 64

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