DLMF:5.9.E6 (Q2095)

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DLMF:5.9.E6
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    Γ ( z ) cos ( 1 2 π z ) = 0 t z - 1 cos t d t , Euler-Gamma 𝑧 1 2 𝜋 𝑧 superscript subscript 0 superscript 𝑡 𝑧 1 𝑡 𝑡 {\displaystyle{\displaystyle\Gamma\left(z\right)\cos\left(\tfrac{1}{2}\pi z% \right)=\int_{0}^{\infty}t^{z-1}\cos t\mathrm{d}t,}}
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