A short proof for Gosper's \(_7F_6\)-series conjecture

DOI10.1016/J.JMAA.2014.09.019zbMath1300.33010OpenAlexW2515341857WikidataQ123129520 ScholiaQ123129520MaRDI QIDQ465174

Xiaojing Chen, Chenying Wang

Publication date: 31 October 2014

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.2014.09.019

zbMATH Keywords

generalized hypergeometric seriesAbel's lemma on summation by partsGosper's \(_3F_2(3/4)\)-series sumGosper's cubic \(_7F_6\)-series sum

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (6)

Strange evaluations of Fox–Wright function ⋮ A nonterminating 7F6-series evaluation ⋮ Transformation formulae for terminating balanced $_4F_3$-series and implications ⋮ Nonterminating well–poised hypergeometric series ⋮ Whipple-type 3F2-series and summation formulae involving generalized harmonic numbers ⋮ Q-analogues of five difficult hypergeometric evaluations

Cites Work

• Bailey's very well-poised \(_6\psi_6\)-series identity
• An Indefinite Bibasic Summation Formula and Some Quadratic, Cubic and Quartic Summation and Transformation Formulas
• Strange Evaluations of Hypergeometric Series
• Abel's method on summation by parts and hypergeometric series
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