DLMF:7.14.E6 (Q2438): 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
 
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Revision as of 16:08, 30 December 2019

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DLMF:7.14.E6
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    Statements

    0 e - a t S ( t ) d t = 1 a g ( a π ) , superscript subscript 0 superscript 𝑒 𝑎 𝑡 Fresnel-sine-integral 𝑡 𝑡 1 𝑎 Fresnel-auxilliary-function-g 𝑎 𝜋 {\displaystyle{\displaystyle\int_{0}^{\infty}e^{-at}S\left(t\right)\mathrm{d}t% =\frac{1}{a}\mathrm{g}\left(\frac{a}{\pi}\right),}}
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    a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}
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