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2: Graph of the Gamma function Γ(x) in a real domain. | Download Scientific Diagram
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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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Independent Proof of Gamma Function – Show that gamma(1/2)=sqrt(pi) – Yawin
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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