Word.ws English Dictionary

Legendre's differential equation

Legendre's differential equation proper noun: the equation that defines the Legendre polynomials: d/dx[(1-x²)d/dxP_n(x)]+n(n+1)P_n(x)=0.

Proper noun

Legendre's differential equation

  1. The equation that defines the Legendre polynomials: d/dx[(1-x²)d/dxP_n(x)]+n(n+1)P_n(x)=0.

Origin of Legendre's differential equation

Named after French mathematician Adrien-Marie Legendre (1752–1833).

Questions about Legendre's differential equation

What does Legendre's differential equation mean?
Legendre's differential equation means the equation that defines the Legendre polynomials: d/dx[(1-x²)d/dxP_n(x)]+n(n+1)P_n(x)=0.
What part of speech is Legendre's differential equation?
Legendre's differential equation is a proper noun.

Words near Legendre's differential equation in the dictionary

  1. Legendre symbols
  2. Legendre transformation
  3. Legendre transformations
  4. Legendre's conjecture
  5. Legendre's constant
  6. Legendre's differential equation
  7. Legendres
  8. legendrian
  9. legendrians
  10. legendries
  11. legendry

Source and license

Adapted from Wiktionary: Legendre's differential equation (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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