# DLMF:7.7.E7 (Q2377)

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DLMF:7.7.E7
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## Statements

${\displaystyle{\displaystyle\int_{x}^{\infty}e^{-a^{2}t^{2}-(b^{2}/t^{2})}% \mathrm{d}t=\frac{\sqrt{\pi}}{4a}\left(e^{2ab}\operatorname{erfc}\left(ax+(b/x% )\right)+e^{-2ab}\operatorname{erfc}\left(ax-(b/x)\right)\right),}}$
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DLMF:7.7.E7
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${\displaystyle{\displaystyle|\operatorname{ph}a|<\tfrac{1}{4}\pi}}$
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${\displaystyle{\displaystyle x>0}}$
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${\displaystyle{\displaystyle|\operatorname{ph}a|<\tfrac{1}{4}\pi}}$
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${\displaystyle{\displaystyle\pi}}$
C3.S12.E1.m2afdec
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${\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}$
C7.S2.E2.m2acdec
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${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$
C1.S4.SS4.m1afdec
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${\displaystyle{\displaystyle\mathrm{e}}}$
C4.S2.E11.m2afdec
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${\displaystyle{\displaystyle\int}}$
C1.S4.SS4.m3afdec
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${\displaystyle{\displaystyle\operatorname{ph}}}$
C1.S9.E7.m1aadec
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${\displaystyle{\displaystyle x}}$
C7.S1.XMD1.m1adec
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