The Wallis-Catalan Infinite Product Formula and the Lemniscate Constant

Zenodo (CERN European Organization for Nuclear Research) 2026 Preprint Open access

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Authors: Robert Joseph Andrew Bilinski
DOI: 10.5281/zenodo.18854932
Cited by: 0

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.

Fields of Study & Subjects

Advanced Mathematical Identities Mathematical functions and polynomials Analytic Number Theory Research

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
4 March 2026
Language
EN
Document type
Preprint