An Identity Involving Product of Generalized Hypergeometric Series 2F2

DOI10.5666/KMJ.2019.59.2.293zbMath1434.33008OpenAlexW2963797166MaRDI QIDQ5215872

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Publication date: 13 February 2020

Full work available at URL: http://dspace.kci.go.kr/handle/kci/111951?show=full

zbMATH Keywords

generalized hypergeometric seriesBailey's identityKummer-type I transformationPreece's identityGauss's summation theorem for \(_2F_1(1)\)Kummer-type II transformationWatson summation theorem for \(_3F_2(1)\)

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (1)

On an interesting extension of Kummer's second theorem with applications

Uses Software

• SumTools

Cites Work

• On the reducibility of the Kampé de Fériet function
• A Kummer-type transformation for a \(_{2}F_{2}\) hypergeometric function
• Applications of extended Watson's summation theorem
• ON PREECE'S IDENTITY AND OTHER CONTIGUOUS RESULTS
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