DLMF:10.22.E27 (Q3401): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
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Property / constraint
 

ν > 0 𝜈 0 {\displaystyle{\displaystyle\Re\nu>0}}

\realpart@@{\nu}>0
Property / constraint: ν > 0 𝜈 0 {\displaystyle{\displaystyle\Re\nu>0}} / rank
 
Normal rank

Revision as of 17:19, 30 December 2019

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DLMF:10.22.E27
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    0 x t J ν - 1 2 ( t ) d t = 2 k = 0 ( ν + 2 k ) J ν + 2 k 2 ( x ) , superscript subscript 0 𝑥 𝑡 Bessel-J 𝜈 1 2 𝑡 𝑡 2 superscript subscript 𝑘 0 𝜈 2 𝑘 Bessel-J 𝜈 2 𝑘 2 𝑥 {\displaystyle{\displaystyle\int_{0}^{x}t{J_{\nu-1}^{2}}\left(t\right)\mathrm{% d}t=2\sum_{k=0}^{\infty}(\nu+2k){J_{\nu+2k}^{2}}\left(x\right),}}
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    DLMF:10.22.E27
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    ν > 0 𝜈 0 {\displaystyle{\displaystyle\Re\nu>0}}
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