Formalization of Wallis Infinite Product Formula for <i>π</i> and the Wallis Integral

Summary In this article, we develop the proof of the so-called Wallis formula using the Mizar formalism. The purpose of this formalization is to complete the proof of Stirling’s formula using elementary techniques of calculus; however, the formal encoding of the Wallis-type integral is also included.

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Publication Details

Journal
Formalized Mathematics
Published
2025-09-01
DOI
https://doi.org/10.2478/forma-2025-0007
Citations
1
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
5.38
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article

Formalization of Wallis Infinite Product Formula for π and the Wallis Integral

Yasushige Watase
1 citations
Formalized Mathematics
Advanced Mathematical Identities
5.38
article

Formalization of Wallis Infinite Product Formula for π and the Wallis Integral

Yasushige Watase
article en
1 citations

Abstract

Summary In this article, we develop the proof of the so-called Wallis formula using the Mizar formalism. The purpose of this formalization is to complete the proof of Stirling’s formula using elementary techniques of calculus; however, the formal encoding of the Wallis-type integral is also included.

Formalized MathematicsVol. 33(1)
Rissho University (JP)
Openalex Percentile: Top 4%
Advanced Mathematical Identities
5.38
DOIOpen Access PDFOpenAlex
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Formalization of Wallis Infinite Product Formula for <i>π</i> and the Wallis Integral — Yasushige Watase · Formalized Mathematics (2025) | TGRS Research Map | TGRS