DLMF:10.32.E6 (Q3526): Difference between revisions

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Property / constraint
 

x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}}

x>0
Property / constraint: x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}} / rank
 
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Revision as of 16:38, 30 December 2019

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DLMF:10.32.E6
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    K 0 ( x ) = 0 cos ( x sinh t ) d t = 0 cos ( x t ) t 2 + 1 d t , modified-Bessel-second-kind 0 𝑥 superscript subscript 0 𝑥 𝑡 𝑡 superscript subscript 0 𝑥 𝑡 superscript 𝑡 2 1 𝑡 {\displaystyle{\displaystyle K_{0}\left(x\right)=\int_{0}^{\infty}\cos\left(x% \sinh t\right)\mathrm{d}t=\int_{0}^{\infty}\frac{\cos\left(xt\right)}{\sqrt{t^% {2}+1}}\mathrm{d}t,}}
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    x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}}
    0 references