DLMF:4.40.E7 (Q1979): 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 a\neq 0}}

a\neq 0
Property / constraint: a 0 𝑎 0 {\displaystyle{\displaystyle a\neq 0}} / rank
 
Normal rank

Revision as of 17:03, 30 December 2019

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DLMF:4.40.E7
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    0 e - x sin ( a x ) sinh x d x = 1 2 π coth ( 1 2 π a ) - 1 a , superscript subscript 0 superscript 𝑒 𝑥 𝑎 𝑥 𝑥 𝑥 1 2 𝜋 hyperbolic-cotangent 1 2 𝜋 𝑎 1 𝑎 {\displaystyle{\displaystyle\int_{0}^{\infty}e^{-x}\frac{\sin\left(ax\right)}{% \sinh x}\mathrm{d}x=\tfrac{1}{2}\pi\coth\left(\tfrac{1}{2}\pi a\right)-\frac{1% }{a},}}
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    DLMF:4.40.E7
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    a 0 𝑎 0 {\displaystyle{\displaystyle a\neq 0}}
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