Definition:Legendre Polynomial/Length

Definition

Let $\map {P_n} x$ denote the Legendre polynomial of order $n$.

The length of $\map {P_n} x$ is defined and denoted as:

$\ds \norm {\map {P_n} x} := \sqrt {\int_{-1}^1 \paren {\map {P_n} x}^2 \rd x}$

Also see

• Length of Legendre Polynomial

• Results about Legendre polynomials can be found here.

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