legendre(n, monic=False)
Defined to be the solution of
$$\frac{d}{dx}\left[(1 - x^2)\frac{d}{dx}P_n(x)\right] + n(n + 1)P_n(x) = 0;$$$P_n(x)$ is a polynomial of degree $n$ .
The polynomials $P_n$ are orthogonal over $[-1, 1]$ with weight function 1.
Degree of the polynomial.
If :None:None:`True`, scale the leading coefficient to be 1. Default is :None:None:`False`.
Legendre polynomial.
Legendre polynomial.
Generate the 3rd-order Legendre polynomial 1/2*(5x^3 + 0x^2 - 3x + 0):
>>> from scipy.special import legendreSee :
... legendre(3) poly1d([ 2.5, 0. , -1.5, 0. ])
The following pages refer to to this document either explicitly or contain code examples using this.
scipy.special._orthogonal.legendre
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