DLMF:7.7.E7 (Q2377): Difference between revisions

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No description defined

Language	Label	Description	Also known as
English	DLMF:7.7.E7	No description defined

Statements

Defining formula

{\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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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2afdec

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complementary error function

Defining formula

{\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}

C7.S2.E2.m2acdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1afdec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2afdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3afdec

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Defining formula

{\displaystyle{\displaystyle\operatorname{ph}}}

C1.S9.E7.m1aadec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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