AI & Computingpreprint2026-10-06

The Wallis-Catalan Infinite Product Formula and the Lemniscate Constant

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Abstract

A Wallis-type product formula is established using the Catalan numbers. This is shown to converge to ϖ/4, a quarter of the Lemniscate constant.

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View paper (DOI)Open access versionOpenAlexZenodo (CERN European Organization for Nuclear Research)Published 2026-10-06

Authors: Robert Joseph Andrew Bilinski