Laguerre projection kernel
= Laguerre projection kernel
{c}
For $w(x)=x^ae^{-x}$ on $[0,\infty)$, $a>-1$, the monic <Generalized Laguerre polynomials> have squared norms $h_j=j!\Gamma(j+a+1)$. The corresponding <orthogonal polynomial projection kernel> is $(xy)^{a/2}e^{-(x+y)/2}\sum_{j=0}^{m-1}j!L_j^{(a)}(x)L_j^{(a)}(y)/\Gamma(j+a+1)$ for nonnegative $x,y$, and zero otherwise.