Legendre equation

noun Mathematics.
  1. a differential equation of the form (1−x2)d2y/dx2 − 2xdy/dx + a(a + 1)y = 0, where a is an arbitrary constant.

Origin of Legendre equation

First recorded in 1880–85; after A. M. Legendre
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018