Closed formulae for a class of terminating 3F2(4)-series

DOI10.1080/10652469.2017.1376194zbMath1379.33012OpenAlexW2755438924MaRDI QIDQ4600143

Xiaojing Chen, Chu, Wenchang

Publication date: 5 January 2018

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2017.1376194

zbMATH Keywords

hypergeometric serieslinearization methodcontiguous relationChu-Vandermonde summation formulaDougall's formula for very well-poised \(_5F_4\)-series

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (18)

Terminating \(q\)-Whipple summation theorem with two integer parameters ⋮ Relations for a class of terminating ₄F₃(4) hypergeometric series ⋮ Unnamed Item ⋮ Another class of nonterminating \(_3F_2\)-series with a free argument ⋮ Evaluation of nonterminating \(_3F_2(\frac{1}{4})\)-series perturbed by three integer parameters ⋮ TERMINATING ALMOST POISED <i>q</i>-DIXON SUMS ⋮ \( \pi \)-formulas from dual series of the Dougall theorem ⋮ Binomial sums via Bailey's cubic transformation ⋮ Divided differences and terminating well-poised hypergeometric series ⋮ Nonterminating ₃F₂-series with a free variable ⋮ Unnamed Item ⋮ Non-terminating₃F₂-series with unit argument ⋮ Nonterminating well–poised hypergeometric series ⋮ Terminating ₃F₂(4)-series extended with three integer parameters ⋮ Ramanujan-like formulae for \(\pi\) and \(1/\pi\) via Gould-Hsu inverse series relations ⋮ Terminating balanced \(_{4}F_{3}\)-series and very well-poised \(_{7}F_{6}\)-series ⋮ Terminating balanced \({}_4\phi_3\)-series and very well-poised \({}_8\phi_7\)-series ⋮ Some mysterious-looking \(_2F_1\)-series through the telescoping method

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