Abel's lemma on summation by parts and Ramanujan's \(_1\psi_1\)-series identity

DOI10.1007/s00010-006-2830-1zbMath1116.33018OpenAlexW1985146068WikidataQ124815333 ScholiaQ124815333MaRDI QIDQ2505171

Chu, Wenchang

Publication date: 4 October 2006

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-006-2830-1

zbMATH Keywords

triple product identityAbel's lemmaRamanujan's \(_1\psi_1\) summation

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (8)

\(q\)-binomial sums toward Euler's pentagonal number theorem ⋮ Partial sums of Bailey's₆ψ₆-series to faster convergent series ⋮ A common recursive formula for Ramanujan’s ₁𝜓₁ and Bailey’s very-well-poised ₆𝜓₆ summation formulas ⋮ Rogers-Ramanujan type identities via Abel's lemma on summation by parts ⋮ Nonterminating well–poised hypergeometric series ⋮ Abel's lemma on summation by parts and terminating \(q\)-series identities ⋮ Abel's method on summation by parts and nonterminating \(q\)-series identifies ⋮ Abel's Lemma on summation by parts and partial \(q\)-series transformations

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