DLMF:6.14.E3 (Q2301): 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 17:07, 30 December 2019

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DLMF:6.14.E3
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    0 e - a t si ( t ) d t = - 1 a arctan a , superscript subscript 0 superscript 𝑒 𝑎 𝑡 shifted-sine-integral 𝑡 𝑡 1 𝑎 𝑎 {\displaystyle{\displaystyle\int_{0}^{\infty}e^{-at}\mathrm{si}\left(t\right)% \mathrm{d}t=-\frac{1}{a}\operatorname{arctan}a,}}
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    a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}
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