Gamma function - Wikipedia
![SOLVED: According to the definition of the Gamma function, Γ(1/2) = ∫∞0 t^(-1/2) e^(-t) dt. (a) Show that the change of variable t = s^2 leads to [2 marks] Γ(1/2) = 2∫∞0](https://cdn.numerade.com/ask_previews/fb3ce0d0-0018-43fe-8ba5-d4f17ddb0669_large.jpg "SOLVED: According to the definition of the Gamma function, Γ(1/2) = ∫∞0 t^(-1/2) e^(-t) dt. (a) Show that the change of variable t = s^2 leads to [2 marks] Γ(1/2) = 2∫∞0")
SOLVED: According to the definition of the Gamma function, Γ(1/2) = ∫∞0 t^(-1/2) e^(-t) dt. (a) Show that the change of variable t = s^2 leads to [2 marks] Γ(1/2) = 2∫∞0
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Tamás Görbe on X: "Factorial for complex numbers is defined using the gamma function. For n=0,1,2,..., we have Γ(n+1)=n! The previous tweet is a special case of Euler's reflection formula Γ(z)Γ(1-z)=π/sin(πz). https://t.co/jHqZi6j3PD" /
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statistics - Proving $\Gamma (\frac{1}{2}) = \sqrt{\pi}$ - Mathematics Stack Exchange
Gamma function | Definition, properties, proofs
