Abel's method on summation by parts and nonterminating \(q\)-series identifies

DOI10.1007/BF03191209zbMath1178.33018MaRDI QIDQ1027131

Wenlong Zhang, Chu, Wenchang

Publication date: 30 June 2009

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/43642

zbMATH Keywords

basic hypergeometric seriesAbel's lemma on summation by partsnonterminating \(q\)-Watson formulanonterminating \(q\)-Whipple formula

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (3)

Hidden \(q\)-analogues of Ramanujan-like \(\pi\)-series ⋮ Rogers-Ramanujan type identities via Abel's lemma on summation by parts ⋮ Infinite series containing generalized harmonic numbers

Cites Work

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• Bailey's very well-poised \(_6\psi_6\)-series identity
• Abel's lemma on summation by parts and Ramanujan's \(_1\psi_1\)-series identity
• Some Summation Formulae for Nonterminating Basic Hypergeometric Series
• Some Quadratic and Cubic Summation Formulas for Basic Hypergeometric Series
• SERIES OF HYPERGEOMETRIC TYPE WHICH ARE INFINITE IN BOTH DIRECTIONS

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