Abel's method on summation by parts and hypergeometric series

DOI10.1080/10236190600704096zbMath1098.33003OpenAlexW1993356918MaRDI QIDQ5489343

Chu, Wenchang

Publication date: 25 September 2006

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190600704096

zbMATH Keywords

hypergeometric seriesfinite differenceAbel's Lemma

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (14)

Recursion formulas for Appell functions ⋮ Infinite series formulae related to Gauss and Bailey \(_2F_1(\frac{1}{2})\)-sums ⋮ Infinite series identities on harmonic numbers ⋮ Series acceleration formulas obtained from experimentally discovered hypergeometric recursions ⋮ A short proof for Gosper's \(_7F_6\)-series conjecture ⋮ Abel's method on summation by parts and theta hypergeometric series ⋮ Evaluation of nonterminating \({}_3F_2\left(\frac{3}{4}\right)\)-series ⋮ Nonterminating well–poised hypergeometric series ⋮ Abel's method on summation by parts and hypergeometric contiguous relations ⋮ The modified Abel lemma on summation by parts and terminating hypergeometric series identities ⋮ Abel's lemma on summation by parts and terminating \(q\)-series identities ⋮ Dougall’s bilateral ₂𝐻₂-series and Ramanujan-like 𝜋-formulae ⋮ Accelerating Dougall’s $_5F_4$-sum and infinite series involving $\pi $ ⋮ EVALUATION OF CERTAIN EXOTIC (1)-SERIES

Cites Work

• A Hypergeometric Identity Related to Dougall's Theorem
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