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Legendre equation

American  

noun

Mathematics.

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

Etymology

Origin of Legendre equation

First recorded in 1880–85; after A. M. Legendre

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.