Another class of nonterminating \(_3F_2\)-series with a free argument

DOI10.1186/s13662-021-03648-7zbMath1494.33004OpenAlexW3214333395MaRDI QIDQ2167275

Nadia N. Li, Chu, Wenchang

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03648-7

zbMATH Keywords

linearization methodclassical hypergeometric seriesbisection seriesLambert's binomial seriesnonterminating \(_3F_2\)-series

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Generalized hypergeometric series, ({}_pF_q) (33C20)

Cites Work

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• Generalized Watson's summation formula for \(_3F_2(1)\)
• Binomial convolutions and hypergeometric identities
• Finding identities with the WZ method
• The uniformization of certain algebraic hypergeometric functions
• Analytical formulae for extended $_{3}F_{2}$-series of Watson–Whipple–Dixon with two extra integer parameters
• Some Generalizations of Vandermonde's Convolution
• Strange Evaluations of Hypergeometric Series
• Closed formulae for a class of terminating 3F2(4)-series
• Non-terminating₃F₂-series with unit argument
• Terminating ₃F₂(4)-series extended with three integer parameters
• Nonterminating ₃F₂-series with a free variable
• Terminating₄F₃-series extended with two integer parameters
• A generalization of Euler’s hypergeometric transformation

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