Two formulae of Gauss and Bailey for $_2F_1 (\frac12)$-series

DOI10.4064/ap210715-15-12OpenAlexW4225845909WikidataQ114022059 ScholiaQ114022059MaRDI QIDQ5075522

Chu, Wenchang

Publication date: 16 May 2022

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap210715-15-12

zbMATH Keywords

\(q\)-seriesbilateral seriesKummer transformationThomae transformationBailey's \({}_2 F_1 \left(\frac{1}{2}\right)\)-seriesGauss' second theorem for \({}_2 F_1 \left(\frac{1}{2}\right)\)-series

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Generalized hypergeometric series, ({}_pF_q) (33C20)

Cites Work

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• Common extension of bilateral series for Andrews' \(q\)-Bailey and \(q\)-Gauss sums
• On the q-analog of Kummer's theorem and applications
• Some Transformations of Basic Hypergeometric Functions. Part II

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