Generalized hypergeometric identities with extra parameters

DOI10.2298/FIL2010483MzbMath1499.33029WikidataQ115058623 ScholiaQ115058623MaRDI QIDQ5081196

Gradimir V. Milovanović, Mohammad Masjed-Jamei

Publication date: 13 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

generalized hypergeometric seriesPochhammer symbolGauss summation theoremKummer summation theoremKarlssonâ-Minton hypergeometric identityPfaff-Saalschutz summation theoremratio test and series convergence

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Numerical summation of series (65B10) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Cites Work

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• Generalizations of classical summation theorems for the series₂F₁and₃F₂with applications
• Karlsson–Minton summation theorems for the generalized hypergeometric series of unit argument
• A study of generalized summation theorems for the series 2F1 with an applications to Laplace transforms of convolution type integrals involving Kummer's functions 1F1
• Generalized Hypergeometric Function of Unit Argument

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