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A Wallis Product on Clovers

2012/12/17 by Trevor Hyde, Hyde, Trevor · 1 citation
Chemistry · Mathematics · Medicine · #Axial and Atropisomeric Chirality Synthesis #Chemical synthesis and alkaloids #FOS: Mathematics #Magnolia and Illicium research #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1212.4178

7 pages, 2 figures

arxiv created 2012/12/17 · openalex publication_date 2012/12/17 · arxiv updated 2012/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a generalization of the Wallis product for a sequence of real numbers related to arc lengths of clover curves. Our proof generalizes a common argument given for the original Wallis product using a sequence of definite integrals.

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