The story
Named after French mathematician Adrien-Marie Legendre (1752–1833).
Etymology from Wiktionary, CC BY-SA 4.0.
Legendre's differential equation
Today it means: The equation that defines the Legendre polynomials: d/dx[(1-x²)d/dxP_n(x)]+n(n+1)P_n(x)=0. Full definition →