A Geometric Interpretation of Euler’s Reflection Formula for the Gamma Function
Abstract
SummaryFrom Euler’s reflection formula, the product of gamma functions Γ(1+1n)Γ(1−1n) is shown to have a geometric interpretation as the arc to chord ratio for a sector of a regular convex polygon with n sides. It also applies to any sector of a circle.
Fields of Study & Subjects
Mathematics and Applications
History and Theory of Mathematics
Mathematical Inequalities and Applications
Publication details
- Journal / source
- Mathematics Magazine
- Volume
- 99
- Issue
- 1
- Pages
- 54–56
- Publication date
- 1 January 2026
- Language
- EN