DLMF:6.7.E5 (Q2258): Difference between revisions

From DRMF
Jump to navigation Jump to search
Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / constraint
 

x 𝑥 {\displaystyle{\displaystyle x\in\mathbb{R}}}

x\in\Reals
Property / constraint: x 𝑥 {\displaystyle{\displaystyle x\in\mathbb{R}}} / rank
 
Normal rank

Revision as of 17:06, 30 December 2019

No description defined
Language Label Description Also known as
English
DLMF:6.7.E5
No description defined

    Statements

    x e - t a 2 + t 2 d t = - 1 2 a i ( e i a E 1 ( x + i a ) - e - i a E 1 ( x - i a ) ) , superscript subscript 𝑥 superscript 𝑒 𝑡 superscript 𝑎 2 superscript 𝑡 2 𝑡 1 2 𝑎 𝑖 superscript 𝑒 𝑖 𝑎 exponential-integral 𝑥 𝑖 𝑎 superscript 𝑒 𝑖 𝑎 exponential-integral 𝑥 𝑖 𝑎 {\displaystyle{\displaystyle\int_{x}^{\infty}\frac{e^{-t}}{a^{2}+t^{2}}\mathrm% {d}t=-\frac{1}{2ai}\left(e^{ia}E_{1}\left(x+ia\right)-e^{-ia}E_{1}\left(x-ia% \right)\right),}}
    0 references
    DLMF:6.7.E5
    0 references
    x 𝑥 {\displaystyle{\displaystyle x\in\mathbb{R}}}
    0 references