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# Legendre equation

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noun Mathematics.

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

## Words nearby Legendre equation

legend, legendary, legendist, legendize, Legendre, Legendre equation, legendry, leger, legerdemain, legerity, leger line

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