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Meaning of Legendre equation

Legen'dre equa"tion

Pronunciation: [key]
— Math. Math.
  1. a differential equation of the form (1−x)dy/dx − 2xdy/dx + a(a + 1)y = 0, where a is an arbitrary constant.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.