DLMF:7.14.E2 (Q2434): Difference between revisions

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Property / constraint
 

a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}

\realpart@@{a}>0
Property / constraint: a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}} / rank
 
Normal rank

Revision as of 16:08, 30 December 2019

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DLMF:7.14.E2
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    0 e - a t erf ( b t ) d t = 1 a e a 2 / ( 4 b 2 ) erfc ( a 2 b ) , superscript subscript 0 superscript 𝑒 𝑎 𝑡 error-function 𝑏 𝑡 𝑡 1 𝑎 superscript 𝑒 superscript 𝑎 2 4 superscript 𝑏 2 complementary-error-function 𝑎 2 𝑏 {\displaystyle{\displaystyle\int_{0}^{\infty}e^{-at}\operatorname{erf}\left(bt% \right)\mathrm{d}t=\frac{1}{a}e^{a^{2}/(4b^{2})}\operatorname{erfc}\left(\frac% {a}{2b}\right),}}
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    a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}
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