DLMF:8.21.E8 (Q2729)

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DLMF:8.21.E8
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    Statements

    Defining formula
    Si ⁡ ( a , z ) = Γ ⁡ ( a ) ⁢ sin ⁡ ( 1 2 ⁢ π ⁢ a ) - si ⁡ ( a , z ) , generalized-sine-integral-Si 𝑎 𝑧 Euler-Gamma 𝑎 1 2 𝜋 𝑎 generalized-sine-integral-si 𝑎 𝑧 {\displaystyle{\displaystyle\mathrm{Si}\left(a,z\right)=\Gamma\left(a\right)% \sin\left(\tfrac{1}{2}\pi a\right)-\mathrm{si}\left(a,z\right),}}
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    DLMF id
    DLMF:8.21.E8
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    constraint
    a ≠ - 1 , - 3 , - 5 , … 𝑎 1 3 5 … {\displaystyle{\displaystyle a\neq-1,-3,-5,\dots}}
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