DLMF:6.7.E11 (Q2264): Difference between revisions

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Property / constraint
 

a , b 𝑎 𝑏 {\displaystyle{\displaystyle a,b\in\mathbb{R}}}

a,b\in\Reals
Property / constraint: a , b 𝑎 𝑏 {\displaystyle{\displaystyle a,b\in\mathbb{R}}} / rank
 
Normal rank

Revision as of 16:06, 30 December 2019

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DLMF:6.7.E11
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    Statements

    0 1 ( 1 - e - a t ) cos ( b t ) t d t = Ein ( a + i b ) - Cin ( b ) , superscript subscript 0 1 1 superscript 𝑒 𝑎 𝑡 𝑏 𝑡 𝑡 𝑡 complementary-exponential-integral 𝑎 𝑖 𝑏 cosine-integral-Cin 𝑏 {\displaystyle{\displaystyle\int_{0}^{1}\frac{(1-e^{-at})\cos\left(bt\right)}{% t}\mathrm{d}t=\Re\mathrm{Ein}\left(a+ib\right)-\mathrm{Cin}\left(b\right),}}
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    a , b 𝑎 𝑏 {\displaystyle{\displaystyle a,b\in\mathbb{R}}}
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