Ramanujan-like formulae for \(\pi\) and \(1/\pi\) via Gould-Hsu inverse series relations
From MaRDI portal
Publication:2054716
DOI10.1007/s11139-020-00337-zzbMath1493.33003OpenAlexW3132927018MaRDI QIDQ2054716
Publication date: 3 December 2021
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-020-00337-z
classical hypergeometric seriesRamanujan's series for \(1/\pi\)Gould-Hsu inverse series relationsinfinite series expression for \(\pi\)Pfaff-Saalschütz summation theorem
Generalized hypergeometric series, ({}_pF_q) (33C20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(\pi \)-formulas implied by Dougall's summation theorem for \(_{5} F _{4}\)-series
- Generators of some Ramanujan formulas
- \(q\)-derivative operators and basic hypergeometric series
- Bilateral inversions and terminating basic hypergeometric series identities
- Another family of q-Lagrange inversion formulas
- Inversion techniques and combinatorial identities. A unified treatment for the \(_ 7F_ 6\)-series identities
- Some inverse relations
- Inversion techniques and combinatorial identities: Balanced hypergeometric series.
- Dougall's \(_5F_4\) sum and the WZ algorithm
- \(q\)-series reciprocities and further \(\pi\)-formulae
- Sone new inverse series relations
- Hypergeometric identities for 10 extended Ramanujan-type series
- Accelerating Dougall’s $_5F_4$-sum and infinite series involving $\pi $
- Dougall’s bilateral ₂𝐻₂-series and Ramanujan-like 𝜋-formulae
- Ramanujan's Series for 1/π: A Survey
- A Matrix Inverse
- Summation formulae on Fox–Wright Ψ-functions
- Applications of q-Lagrange Inversion to Basic Hypergeometric Series
- Strange Evaluations of Hypergeometric Series
- Proofs of some Ramanujan series for 1/π using a program due to Zeilberger
- Closed formulae for a class of terminating 3F2(4)-series
- About a New Kind of Ramanujan-Type Series
- Terminating 3F2(4)-series extended with three integer parameters
This page was built for publication: Ramanujan-like formulae for \(\pi\) and \(1/\pi\) via Gould-Hsu inverse series relations
