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Legendre equation

noun, Mathematics.
1.
a differential equation of the form (1− x 2) d2y/dx2 − 2 xdy/dx + a (a + 1) y = 0, where a is an arbitrary constant.
Origin of Legendre equation
1880-1885
1880-85; after A. M. Legendre
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2016.
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