Category:Examples of Legendre Polynomials
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This category contains examples of Legendre Polynomial.
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 $\map {P_n} x$.
Pages in category "Examples of Legendre Polynomials"
The following 6 pages are in this category, out of 6 total.