Definition of Gamma function.

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Hi I have a question about gamma function integral, we know: $$\Gamma(z)=\int_0^\infty x^{z-1}e^{-x}dx$$(for $z>0$) now I want solving this integral by using $\Gamma$ function: $$\int_0^\infty l^{n-1}e^{\alpha l^2}dl$$ Please help me for solving that.