Category:Legendre Polynomials
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This category contains results about Legendre Polynomials.
Definitions specific to this category can be found in Definitions/Legendre Polynomials.
Consider the Legendre's differential equation:
- $(1): \quad \paren {1 - x^2} \dfrac {\d^2 y} {\d x^2} - 2 x \dfrac {\d y} {\d x} + n \paren {n + 1} y = 0$
for $n \in \N$.
The solutions to $(1)$ are called the Legendre polynomials of order $n$ and denoted $\map {P_n} x$.
Subcategories
This category has the following 2 subcategories, out of 2 total.
A
- Associated Legendre Functions (empty)
E
Pages in category "Legendre Polynomials"
The following 4 pages are in this category, out of 4 total.