From Wallis and Forsyth to Ramanujan

DOI10.1007/s11139-017-9940-3zbMath1417.11157OpenAlexW2754890837MaRDI QIDQ1633152

Paul Levrie, Amrik Singh Nimbran

Publication date: 19 December 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://hdl.handle.net/10067/1551090151162165141

zbMATH Keywords

Ramanujan's seriesseries for \(1/\pi \)Wallis's product formula

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Evaluation of number-theoretic constants (11Y60)

Related Items

Applications of Zeilberger’s Algorithm to Ramanujan-Inspired Series Involving Harmonic-Type Numbers, Further WZ-based methods for proving and generalizing Ramanujan's series, Series acceleration formulas obtained from experimentally discovered hypergeometric recursions

Cites Work

• A summation formula and Ramanujan type series
• Dougall's \(_5F_4\) sum and the WZ algorithm
• On Wallis-type Products and Pólya’s Urn Schemes
• Dougall’s bilateral ₂𝐻₂-series and Ramanujan-like 𝜋-formulae
• Ramanujan's Series for 1/π: A Survey
• GAUSS SUMMATION AND RAMANUJAN-TYPE SERIES FOR 1/π
• Using Fourier-Legendre expansions to derive series for \(\frac{1}{\pi}\) and \(\frac{1}{\pi^{2}}\)