An elementary proof of Stirling's formula

2023/10/07 by Jakub Smolík, Smolík, Jakub
Decision Sciences · Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Functional Equations Stability Results #Mathematics and Applications #Scientific Measurement and Uncertainty Evaluation #math.CO

paper · pdf · doi:10.48550/arxiv.2310.04872

openalex publication_date 2023/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28 · arxiv created 2026/08/02 · arxiv updated 2026/08/04

Abstract

We give a short proof of Stirling's formula using only limits, Taylor series, and the Wallis product.

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