\begin{definition}[Definition:Legendre Polynomial]
The '''Legendre polynomials''' are the solutions to Legendre's differential equation.
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These solutions form a polynomial sequence of orthogonal polynomials on the interval $\closedint {-1} 1$.
{{explain|Is there a specific concept which is identified by the term "polynomial sequence", or is the word "polynomial" redundant here?}}
\end{definition}