DLMF:7.9.E3 (Q2397)

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DLMF:7.9.E3
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    Statements

    test
    w ⁡ ( z ) = i π ⁢ 1 z - 1 2 z - 1 z - 3 2 z - 2 z - ⋯ , error-function-w 𝑧 𝑖 𝜋 continued-fraction 1 𝑧 continued-fraction 1 2 𝑧 continued-fraction 1 𝑧 continued-fraction 3 2 𝑧 continued-fraction 2 𝑧 ⋯ {\displaystyle{\displaystyle w\left(z\right)=\frac{i}{\sqrt{\pi}}\cfrac{1}{z-% \cfrac{\frac{1}{2}}{z-\cfrac{1}{z-\cfrac{\frac{3}{2}}{z-\cfrac{2}{z-\cdots}}}}% },}}
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    DLMF id
    DLMF:7.9.E3
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    constraint
    ℑ ⁡ z > 0 𝑧 0 {\displaystyle{\displaystyle\Im z>0}}
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2abdec
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