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DLMF:7.12#Ex2 - MaRDI portal

DLMF:7.12#Ex2 (Q3110)

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DLMF:7.12#Ex2
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    DLMF defining formula
    erfc ⁡ ( - z ) ∼ 2 - e - z 2 π ⁢ ∑ m = 0 ∞ ( - 1 ) m ⁢ ( 1 2 ) m z 2 ⁢ m + 1 , asymptotic-expansion complementary-error-function 𝑧 2 superscript 𝑒 superscript 𝑧 2 𝜋 superscript subscript 𝑚 0 superscript 1 𝑚 Pochhammer 1 2 𝑚 superscript 𝑧 2 𝑚 1 {\displaystyle{\displaystyle\operatorname{erfc}\left(-z\right)\sim 2-\frac{e^{% -z^{2}}}{\sqrt{\pi}}\sum_{m=0}^{\infty}(-1)^{m}\frac{{\left(\tfrac{1}{2}\right% )_{m}}}{z^{2m+1}},}}
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