Question 10.12: Prove that Γ(m) = 2 ∫0^∞ x^2m1e^x² dx, m > 0.

Schaum’s Outline of Complex Variables

Prove that $\Gamma(m)=2 \int\limits_{0}^{\infty} x^{2 m-1} e^{-x^{2}} d x, m>0$ .

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