scipy.special.laguerre¶
-
scipy.special.laguerre(n, monic=False)[source]¶ Laguerre polynomial.
Defined to be the solution of
\[x\frac{d^2}{dx^2}L_n + (1 - x)\frac{d}{dx}L_n + nL_n = 0;\]\(L_n\) is a polynomial of degree \(n\).
- Parameters
- nint
Degree of the polynomial.
- monicbool, optional
If True, scale the leading coefficient to be 1. Default is False.
- Returns
- Lorthopoly1d
Laguerre Polynomial.
Notes
The polynomials \(L_n\) are orthogonal over \([0, \infty)\) with weight function \(e^{-x}\).