DLMF:7.7.E4 (Q2374): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
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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:7.7.E4
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    0 e - a t t + z 2 d t = π a e a z 2 erfc ( a z ) , superscript subscript 0 superscript 𝑒 𝑎 𝑡 𝑡 superscript 𝑧 2 𝑡 𝜋 𝑎 superscript 𝑒 𝑎 superscript 𝑧 2 complementary-error-function 𝑎 𝑧 {\displaystyle{\displaystyle\int_{0}^{\infty}\frac{e^{-at}}{\sqrt{t+z^{2}}}% \mathrm{d}t=\sqrt{\frac{\pi}{a}}e^{az^{2}}\operatorname{erfc}\left(\sqrt{a}z% \right),}}
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    DLMF:7.7.E4
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    a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}
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