DLMF:6.14.E2 (Q2300): 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.E2
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    Statements

    0 e - a t Ci ( t ) d t = - 1 2 a ln ( 1 + a 2 ) , superscript subscript 0 superscript 𝑒 𝑎 𝑡 cosine-integral 𝑡 𝑡 1 2 𝑎 1 superscript 𝑎 2 {\displaystyle{\displaystyle\int_{0}^{\infty}e^{-at}\mathrm{Ci}\left(t\right)% \mathrm{d}t=-\frac{1}{2a}\ln\left(1+a^{2}\right),}}
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    a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}
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