The Pfaff-Saalschütz theorem and terminating \(_3F_2(\frac43)\) series

DOI10.1016/j.jmaa.2011.03.054zbMath1217.33010OpenAlexW2215852239MaRDI QIDQ536246

Xiaojing Chen, Chu, Wenchang

Publication date: 16 May 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.03.054

zbMATH Keywords

hypergeometric seriesPfaff-Saalschütz theoremtriplicate inversions

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (3)

Evaluation of nonterminating \(_3F_2(\frac{1}{4})\)-series perturbed by three integer parameters ⋮ A family of summation formulas on the Fox-Wright function ⋮ Summation formulae on terminating \(_{6}F_{5}(-1)\) series

Cites Work

• Inversion techniques and combinatorial identities. A unified treatment for the \(_ 7F_ 6\)-series identities
• Inversion techniques and combinatorial identities: Balanced hypergeometric series.
• Sone new inverse series relations
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