DLMF:4.40.E8 (Q1980): Difference between revisions

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Property / constraint
 

- π < a < π 𝜋 𝑎 𝜋 {\displaystyle{\displaystyle-\pi<a<\pi}}

-\pi<a<\pi
Property / constraint: - π < a < π 𝜋 𝑎 𝜋 {\displaystyle{\displaystyle-\pi<a<\pi}} / rank
 
Normal rank

Revision as of 16:04, 30 December 2019

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DLMF:4.40.E8
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    0 sinh ( a x ) sinh ( π x ) d x = 1 2 tan ( 1 2 a ) , superscript subscript 0 𝑎 𝑥 𝜋 𝑥 𝑥 1 2 1 2 𝑎 {\displaystyle{\displaystyle\int_{0}^{\infty}\frac{\sinh\left(ax\right)}{\sinh% \left(\pi x\right)}\mathrm{d}x=\tfrac{1}{2}\tan\left(\tfrac{1}{2}a\right),}}
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    - π < a < π 𝜋 𝑎 𝜋 {\displaystyle{\displaystyle-\pi<a<\pi}}
    0 references