On Jackson’s proof of Ramanujan’s 1ψ1 summation formula

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

zbMATH Keywords

Rogers-Ramanujan identitiesBasic hypergeometric seriesRamanujan's \({}_1\psi_1\) summation formula

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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

This page was built for publication: On Jackson’s proof of Ramanujan’s 1ψ1 summation formula