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Question Number 65786 by ~ À ® @ 237 ~ last updated on 04/Aug/19

Shows that ∣Γ(1+ix)∣^2 =(π/(xsinh(πx))) with Γ(z)=∫_0_ ^∞ t^(z−1) e^(−t) dt Then Prove that ∫_0 ^∞ ∣Γ(1+ix)∣^2 dx =(π/4)

Showsthat∣Γ(1+ix)∣2=πxsinh(πx)withΓ(z)=∫0∞tz−1e−tdtThenProvethat∫0∞∣Γ(1+ix)∣2dx=π4

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