Laguerre Polynomials

In mathematics, the Laguerre polynomials, named after Edmond Laguerre (1834–1886), are nontrivial solutions of Laguerre's differential equation:

$xy\prime \prime +(1-x)y\prime +ny=0$, $y=y(x)$ 

wich is a second-order linear differential equation. This equation has nonsingular solutions only if n is a non-negative integer.

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