Some summation theorems for generalized hypergeometric functions

DOI10.3390/axioms7020038zbMath1432.33005OpenAlexW2805228645MaRDI QIDQ2305850

Mohammad Masjed-Jamei, Wolfram Koepf

Publication date: 20 March 2020

Published in: Axioms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/axioms7020038

zbMATH Keywords

generalized hypergeometric seriesclassical summation theorems of hypergeometric functionsGauss and confluent hypergeometric functions

Mathematics Subject Classification ID

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

Related Items (3)

Applications of a \(q\)-Salagean type operator on multivalent functions ⋮ A note on a further extension of Gauss’s second summation theorem with an application to the extension of two well-known combinatorial identities ⋮ A study of extensions of classical summation theorems for the series \(_3F_2\) and \(_4F_3\) with applications

Uses Software

• SumTools

Cites Work

• Karlsson--Minton type hypergeometric functions on the root system \(C_{n}\)
• Generalized hypergeometric functions with applications in statistics and physical sciences
• Certain summation and transformation formulas for generalized hypergeometric series
• Hypergeometric summation. An algorithmic approach to summation and special function identities
• Karlsson–Minton summation theorems for the generalized hypergeometric series of unit argument
• Generalized Hypergeometric Function of Unit Argument
• Hypergeometric Functions with Integral Parameter Differences
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