DLMF:7.18.E14 (Q2464)

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DLMF:7.18.E14
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    i n ⁢ erfc ⁡ ( z ) ∼ 2 π ⁢ e - z 2 ( 2 ⁢ z ) n + 1 ⁢ ∑ m = 0 ∞ ( - 1 ) m ⁢ ( 2 ⁢ m + n ) ! n ! ⁢ m ! ⁢ ( 2 ⁢ z ) 2 ⁢ m , asymptotic-expansion repeated-integral-complementary-error-function 𝑛 𝑧 2 𝜋 superscript 𝑒 superscript 𝑧 2 superscript 2 𝑧 𝑛 1 superscript subscript 𝑚 0 superscript 1 𝑚 2 𝑚 𝑛 𝑛 𝑚 superscript 2 𝑧 2 𝑚 {\displaystyle{\displaystyle\mathop{\mathrm{i}^{n}\mathrm{erfc}}\left(z\right)% \sim\frac{2}{\sqrt{\pi}}\frac{e^{-z^{2}}}{(2z)^{n+1}}\sum_{m=0}^{\infty}\frac{% (-1)^{m}(2m+n)!}{n!m!(2z)^{2m}},}}
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    DLMF id
    DLMF:7.18.E14
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