EVALUATION OF CERTAIN EXOTIC (1)-SERIES

DOI10.1017/nmj.2022.23OpenAlexW4294580042WikidataQ121364918 ScholiaQ121364918MaRDI QIDQ5877236

Marta Na Chen, Chu, Wenchang

Publication date: 10 February 2023

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/nmj.2022.23

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (1)

Contiguous values for a class of nonterminating ₃F₂(1)-series

Cites Work

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• Finding identities with the WZ method
• On Catalan's constant
• Evaluation of nonterminating \(_3F_2(\frac{1}{4})\)-series perturbed by three integer parameters
• Analytical formulae for extended $_{3}F_{2}$-series of Watson–Whipple–Dixon with two extra integer parameters
• Explicit logarithmic formulas of special values of hypergeometric functions 3F2
• AN ALGEBRO-GEOMETRIC STUDY OF SPECIAL VALUES OF HYPERGEOMETRIC FUNCTIONS
• Divided differences and terminating well-poised hypergeometric series
• Nonterminating ₃F₂-series with a free variable
• Abel's method on summation by parts and hypergeometric series

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