# Inequality for generalized Laguerre polynomials

Please. Does anybody know a proof of this inequality $$\Big|\frac{n!\Gamma(\alpha+1)}{\Gamma(n+\alpha+1)} L^{\alpha}_n(x)\Big|\leq e^{\frac{x}{2}}$$ where $$\alpha\geq0$$ and $$x\geq0$$ and $$L^{\alpha}_n$$ is the n-th Laguerre polynomial. Thanks