DLMF:5.12.E7 (Q2152): Difference between revisions

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Property / constraint
 

a > | b | 𝑎 𝑏 {\displaystyle{\displaystyle\Re a>|\Re b|}}

\realpart@@{a}>|\realpart@@{b}|
Property / constraint: a > | b | 𝑎 𝑏 {\displaystyle{\displaystyle\Re a>|\Re b|}} / rank
 
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Revision as of 16:05, 30 December 2019

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DLMF:5.12.E7
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    Statements

    0 cosh ( 2 b t ) ( cosh t ) 2 a d t = 4 a - 1 B ( a + b , a - b ) , superscript subscript 0 2 𝑏 𝑡 superscript 𝑡 2 𝑎 𝑡 superscript 4 𝑎 1 Euler-Beta 𝑎 𝑏 𝑎 𝑏 {\displaystyle{\displaystyle\int_{0}^{\infty}\frac{\cosh\left(2bt\right)}{(% \cosh t)^{2a}}\mathrm{d}t=4^{a-1}\mathrm{B}\left(a+b,a-b\right),}}
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    a > | b | 𝑎 𝑏 {\displaystyle{\displaystyle\Re a>|\Re b|}}
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