a differential equation of the form (1−x2)d2y/dx2 − 2xdy/dx + a(a + 1)y = 0, where a is an arbitrary constant.
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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. 2020