DLMF:2.10.E34 (Q1021)

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DLMF:2.10.E34
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    test
    g ⁢ ( z ) = e - π ⁢ i / 4 ⁢ ( 2 ⁢ sin ⁡ α ) - 1 / 2 ⁢ ( e - i ⁢ α - z ) - 1 / 2 + e π ⁢ i / 4 ⁢ ( 2 ⁢ sin ⁡ α ) - 1 / 2 ⁢ ( e i ⁢ α - z ) - 1 / 2 . 𝑔 𝑧 superscript 𝑒 𝜋 𝑖 4 superscript 2 𝛼 1 2 superscript superscript 𝑒 𝑖 𝛼 𝑧 1 2 superscript 𝑒 𝜋 𝑖 4 superscript 2 𝛼 1 2 superscript superscript 𝑒 𝑖 𝛼 𝑧 1 2 {\displaystyle{\displaystyle g(z)=e^{-\pi i/4}(2\sin\alpha)^{-1/2}\left(e^{-i% \alpha}-z\right)^{-1/2}+e^{\pi i/4}(2\sin\alpha)^{-1/2}\left(e^{i\alpha}-z% \right)^{-1/2}.}}
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    DLMF id
    DLMF:2.10.E34
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