Seven Hundreds of Exotic ₃F₂-Series Evaluated in π, √2 and log(1 + √2)
DOI:
https://doi.org/10.37256/cm.2420211066Keywords:
hypergeometric series, nonterminating exotic ₃F₂-series, linearization method, Thomae transformation, Kummer transformationAbstract
By means of the linearization method, a nonterminating exotic 3F2-series with five free integer parameters is reduced to particular instances of a known Ω (x, y) function. With a help of the Kummer and Thomae transformations, ten large classes of 3F2-series are evaluated in terms of π, 
and log(1+
). A collection of 700 elegant summation formulae is presented.
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Published
2021-11-05
How to Cite
1.
Chu W. Seven Hundreds of Exotic ₃F₂-Series Evaluated in π, √2 and log(1 + √2). Contemp. Math. [Internet]. 2021 Nov. 5 [cited 2026 Jun. 21];2(4):327-98. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/1066
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Research Article
