Non-terminating3F2-series with unit argument

DOI10.1080/10652469.2018.1454447zbMath1391.33021OpenAlexW2802464983MaRDI QIDQ4641454

Nadia N. Li, Chu, Wenchang

Publication date: 28 May 2018

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2018.1454447

zbMATH Keywords

hypergeometric serieslinearization methodPfaff-Saalschütz theoremKummer transformationThomae transformation

Mathematics Subject Classification ID

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

Related Items (4)

Unnamed Item ⋮ Another class of nonterminating \(_3F_2\)-series with a free argument ⋮ A general double-series identity and its application in hypergeometric reduction formulas ⋮ Nonterminating ₃F₂-series with a free variable

Cites Work

• Generalized Watson's summation formula for \(_3F_2(1)\)
• The Clausenian hypergeometric function \({}_3 F_2\) with unit argument and negative integral parameter differences
• Finding identities with the WZ method
• Analytical formulae for extended $_{3}F_{2}$-series of Watson–Whipple–Dixon with two extra integer parameters
• Terminating ₂𝐹₁(4)-series perturbed by two integer parameters
• Some Generalizations of Vandermonde's Convolution
• Strange Evaluations of Hypergeometric Series
• Closed formulae for a class of terminating 3F2(4)-series
• Terminating₄F₃-series extended with two integer parameters
• A generalization of Euler’s hypergeometric transformation
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