scientific article; zbMATH DE number 7087001

zbMath1416.33010MaRDI QIDQ5226099

Ahmed Ali Atash

Publication date: 30 July 2019

Full work available at URL: http://www.pvamu.edu/aam/wp-content/uploads/sites/182/2019/06/39_R1259_AAM_Atash_AA_011519_Posted_061019.pdf

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zbMATH Keywords

summation formulasconfluent hypergeometric functionKampé de Fériet functionKummer's summation theorem

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Other hypergeometric functions and integrals in several variables (33C70) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

• Generalizations of Whipple's theorem on the sum of a \({}_ 3 F_ 2\)
• Applications of hypergeometric summation theorems of Kummer and Dixon involving double series
• CERTAIN SUMMATION FORMULAS FOR HUMBERT'S DOUBLE HYPERGEOMETRIC SERIES Ψ₂AND Φ₂
• APPLICATIONS OF GENERALIZED KUMMER'S SUMMATION THEOREM FOR THE SERIES₂F₁
• Generalizations of Dixon's Theorem on the Sum of A 3 F 2
• ON AN EXTENSION FORMULAS FOR THE TRIPLE HYPERGEOMETRIC SERIES X₈DUE TO EXTON
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