DLMF:9.12.E12 (Q2940)

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DLMF:9.12.E12
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    Defining formula
    Gi ⁡ ( z ) = 1 2 ⁢ e π ⁢ i / 3 ⁢ Hi ⁡ ( z ⁢ e - 2 ⁢ π ⁢ i / 3 ) + 1 2 ⁢ e - π ⁢ i / 3 ⁢ Hi ⁡ ( z ⁢ e 2 ⁢ π ⁢ i / 3 ) , Scorer-Gi 𝑧 1 2 superscript 𝑒 𝜋 𝑖 3 Scorer-Hi 𝑧 superscript 𝑒 2 𝜋 𝑖 3 1 2 superscript 𝑒 𝜋 𝑖 3 Scorer-Hi 𝑧 superscript 𝑒 2 𝜋 𝑖 3 {\displaystyle{\displaystyle\mathrm{Gi}\left(z\right)=\tfrac{1}{2}e^{\pi i/3}% \mathrm{Hi}\left(ze^{-2\pi i/3}\right)+\tfrac{1}{2}e^{-\pi i/3}\mathrm{Hi}% \left(ze^{2\pi i/3}\right),}}
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    DLMF id
    DLMF:9.12.E12
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