Gosper's strange series: a new, simplified proof and generalizations

DOI10.3792/pjaa.99.012OpenAlexW4387327613MaRDI QIDQ6187422

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Publication date: 15 January 2024

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.99.012

zbMATH Keywords

hypergeometric seriessymbolic evaluationGosper's series

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Cites Work

• Unnamed Item
• On a strange evaluation of the hypergeometric series by Gosper
• Telescopic approach to a formula of \(_2F_1\)-series by Gosper and Ebisu
• A note on Clebsch-Gordan integral, Fourier-Legendre expansions and closed form for hypergeometric series
• Strange Evaluations of Hypergeometric Series
• A series evaluation technique based on a modified Abel lemma

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