Legendre polynomial
Sign in to saveAlso known as legendre polynomials
solutions to Legendre's differential equation
Wikidata facts
- Subclass of
- Gegenbauer polynomials
- Named after
- Adrien-Marie Legendre
Show 5 more facts
- time of discovery or invention
- 1782-00-00
- discoverer or inventor
- Adrien-Marie Legendre
- Commons category
- Legendre polynomials
- different from
- Legendre function
- maintained by WikiProject
- WikiProject Mathematics
via Wikidata · CC0
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Encyclopedic overview
The first six Legendre polynomials
In mathematics, Legendre polynomials, named after Adrien-Marie Legendre (1782), are a system of complete and orthogonal polynomials with a wide number of mathematical properties and numerous applications. They can be defined in many ways, and the various definitions highlight different aspects as well as suggest generalizations and connections to different mathematical structures and physical and numerical applications.
Excerpted from Wikipedia’s “Legendre polynomial” article, available under the CC BY-SA 4.0 licence.