On Jackson’s proof of Ramanujan’s 1ψ1 summation formula
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Publication:3133115
DOI10.1142/S1793042118500197zbMath1387.33020OpenAlexW2742114458MaRDI QIDQ3133115
Jorge Luis Cimadevilla Villacorta
Publication date: 13 February 2018
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793042118500197
Sums of squares and representations by other particular quadratic forms (11E25) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)
Cites Work
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- Some more identities of the Rogers-Ramanujan type
- A simple proof of Ramanujan's summation of the \(_1\Psi_1\)
- Combinatorial proofs of Ramanujan's \(_{1} \psi_{1}\) summation and the \(q\)-Gauss summation.
- An infinite family of Engel expansions of Rogers-Ramanujan type
- Frobenius partitions and the combinatorics of Ramanujan's \(_{1}\psi_{1}\) summation
- A short proof of Ramanujan's famous \(_1\psi_1\) summation formula
- Variants of the Rogers-Ramanujan identities
- A simple proof of Bailey’s very-well-poised ₆𝜓₆ summation
- Further Problems on Partitions
- Shorter Notes: A Simple Proof of Ramanujan's 1 Ψ 1 Sum
- On Lerch's Transcendant and the Basic Bilateral Hypergeometric Series 2 ψ2
- Further Identities of the Rogers-Ramanujan Type
- A NOTE ON CERTAIN q-IDENTITIES
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