DLMF:5.9.E6 (Q2095)

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DLMF:5.9.E6
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    Statements

    test
    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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    DLMF id
    DLMF:5.9.E6
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    constraint
    0 < ℜ ⁡ z < 1 0 𝑧 1 {\displaystyle{\displaystyle 0<\Re z<1}}
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