Yet another proof of Ramanujan’s ₁𝜓₁ sum

DOI10.1090/PROC/16337zbMATH Open1515.33016OpenAlexW4309126330MaRDI QIDQ6039978

Katsuhisa Mimachi

Publication date: 24 May 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/16337

zbMATH Keywords

basic hypergeometric seriesBailey's \(_6\psi_6\) sumRamanujan's \(_1\psi_1\) sum

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Cites Work

• Title not available (Why is that?)
• A Proof of Ramanujan’s Identity by Use of Loop Integrals

Related Items (4)

Title not available (Why is that?) ⋮ Combinatorial proofs of Ramanujan's \(_{1} \psi_{1}\) summation and the \(q\)-Gauss summation. ⋮ Title not available (Why is that?) ⋮ A simple proof of Slater’s transformations for bilateral series $${}_{r}\psi _{r},\, {}_{2r}\psi _{2r}$$ and $${}_{2r-1}\psi _{2r-1}$$

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