DLMF:10.43.E18 (Q3632): Difference between revisions

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Property / constraint
 

| ν | < 1 𝜈 1 {\displaystyle{\displaystyle|\Re\nu|<1}}

|\realpart@@{\nu}|<1
Property / constraint: | ν | < 1 𝜈 1 {\displaystyle{\displaystyle|\Re\nu|<1}} / rank
 
Normal rank

Revision as of 17:40, 30 December 2019

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DLMF:10.43.E18
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    Statements

    0 K ν ( t ) d t = 1 2 π sec ( 1 2 π ν ) , superscript subscript 0 modified-Bessel-second-kind 𝜈 𝑡 𝑡 1 2 𝜋 1 2 𝜋 𝜈 {\displaystyle{\displaystyle\int_{0}^{\infty}K_{\nu}\left(t\right)\mathrm{d}t=% \tfrac{1}{2}\pi\sec\left(\tfrac{1}{2}\pi\nu\right),}}
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    | ν | < 1 𝜈 1 {\displaystyle{\displaystyle|\Re\nu|<1}}
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