Further WZ-based methods for proving and generalizing Ramanujan's series
From MaRDI portal
Publication:6044157
DOI10.1080/10236198.2023.2198042MaRDI QIDQ6044157
John Maxwell Campbell, Paul Levrie
Publication date: 17 May 2023
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Generalized hypergeometric series, ({}_pF_q) (33C20) Evaluation of number-theoretic constants (11Y60) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)
Cites Work
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- Generators of some Ramanujan formulas
- On WZ-pairs which prove Ramanujan series
- Generating function identities for \(\zeta (2n+2)\), \(\zeta (2n+3)\) via the WZ method
- From Wallis and Forsyth to Ramanujan
- Some binomial series obtained by the WZ-method
- Hypergeometric identities for 10 extended Ramanujan-type series
- WZ-Proofs of “Divergent” Ramanujan-Type Series
- Rational Functions Certify Combinatorial Identities
- WZ pairs and q-analogues of Ramanujan series for 1/π
- A WZ proof for a Ramanujan-like series involving cubed binomial coefficients
- Using Fourier-Legendre expansions to derive series for \(\frac{1}{\pi}\) and \(\frac{1}{\pi^{2}}\)
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