Seven Hundreds of Exotic 3F2-Series Evaluated in π, √2 and log(1 + √2) | Zendy

Wenchang Chu | Zendy

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Seven Hundreds of Exotic <sub>3</sub>F<sub>2</sub>-Series Evaluated in π, √2 and log(1 + √2)

Author(s) -

Wenchang Chu

Publication year - 2021

Publication title -

contemporary mathematics

Language(s) - English

Resource type - Journals

eISSN - 2705-1064

pISSN - 2705-1056

DOI - 10.37256/cm.2420211066

Subject(s) - mathematics , series (stratigraphy) , function (biology) , combinatorics , integer (computer science) , linearization , arithmetic , discrete mathematics , physics , nonlinear system , quantum mechanics , paleontology , evolutionary biology , computer science , biology , programming language

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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