New proofs of Borwein-type algorithms for Pi

DOI10.1080/10652469.2016.1200573zbMath1402.11153arXiv1604.00193OpenAlexW2964341726WikidataQ113850282 ScholiaQ113850282MaRDI QIDQ5506797

Jesús Guillera

Publication date: 16 December 2016

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

Full work available at URL: https://arxiv.org/abs/1604.00193

zbMATH Keywords

hypergeometric seriesalgebraic transformationsBorwein-type algorithms for Pi

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Numerical approximation and evaluation of special functions (33F05) Evaluation of number-theoretic constants (11Y60) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10) Elliptic integrals as hypergeometric functions (33C75)

Related Items (3)

Self-replication and Borwein-like algorithms ⋮ The Borwein Brothers, Pi and the AGM ⋮ HYPERGEOMETRIC MODULAR EQUATIONS

Cites Work

• Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi

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