DLMF:7.14.E1 (Q2433): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:7.14.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\infty}e^{2iat}\operatorname{erfc}\left(% bt\right)\mathrm{d}t={\frac{1}{a\sqrt{\pi}}F\left(\frac{a}{b}\right)+\frac{i}{% 2a}\left(1-e^{-(a/b)^{2}}\right)},}}

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DLMF:7.14.E1

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{\displaystyle{\displaystyle a\in\mathbb{C}}}

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{\displaystyle{\displaystyle|\operatorname{ph}b|<\tfrac{1}{4}\pi}}

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Dawson’s integral

Defining formula

{\displaystyle{\displaystyle F\left(\NVar{z}\right)}}

C7.S2.E5.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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complementary error function

Defining formula

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

C7.S2.E2.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathbb{C}}}

introduction.Sx4.p1.t1.r1.m2adec

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Sitelinks

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