DLMF:7.9.E1 (Q2395)

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DLMF:7.9.E1
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    Statements

    Defining formula
    π ⁢ e z 2 ⁢ erfc ⁡ z = z z 2 + 1 2 1 + 1 z 2 + 3 2 1 + 2 z 2 + ⋯ , 𝜋 superscript 𝑒 superscript 𝑧 2 complementary-error-function 𝑧 continued-fraction 𝑧 superscript 𝑧 2 continued-fraction 1 2 1 continued-fraction 1 superscript 𝑧 2 continued-fraction 3 2 1 continued-fraction 2 superscript 𝑧 2 ⋯ {\displaystyle{\displaystyle\sqrt{\pi}e^{z^{2}}\operatorname{erfc}z=\cfrac{z}{% z^{2}+\cfrac{\frac{1}{2}}{1+\cfrac{1}{z^{2}+\cfrac{\frac{3}{2}}{1+\cfrac{2}{z^% {2}+\cdots}}}}},}}
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    DLMF id
    DLMF:7.9.E1
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    constraint
    ℜ ⁡ z > 0 𝑧 0 {\displaystyle{\displaystyle\Re z>0}}
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