scientific article; zbMATH DE number 7779962

MaRDI QIDQ6179552

In-Suk Kim, Joohyung Kim

Publication date: 18 December 2023

Full work available at URL: http://ajmaa.org/cgi-bin/paper.pl?string=v20n2/V20I2P9.tex

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zbMATH Keywords

summation formulasgeneralized hypergeometric functiontransformation formulascontiguous results

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Cites Work

• Extensions of certain classical summation theorems for the series \(_2F_1\), \(_3F_2\) and with applications in Ramanujan's summations
• Generalizations of Whipple's theorem on the sum of a \({}_ 3 F_ 2\)
• Generalizations of classical summation theorems for the series₂F₁and₃F₂with applications
• Generalizations of Dixon's Theorem on the Sum of A 3 F 2
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