DLMF:3.5.E14 (Q1252): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Bessel function of the first kind / rank
 
Normal rank
Property / Symbols used: Bessel function of the first kind / qualifier
 
Defining formula:

J ν ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}

\BesselJ{\NVar{\nu}}@{\NVar{z}}
Property / Symbols used: Bessel function of the first kind / qualifier
 
xml-id: C10.S2.E2.m2adec

Revision as of 17:50, 1 January 2020

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DLMF:3.5.E14
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    Statements

    0 e - p t J 0 ( t ) d t = 1 p 2 + 1 superscript subscript 0 superscript 𝑒 𝑝 𝑡 Bessel-J 0 𝑡 𝑡 1 superscript 𝑝 2 1 {\displaystyle{\displaystyle\int_{0}^{\infty}e^{-pt}J_{0}\left(t\right)\mathrm% {d}t=\frac{1}{\sqrt{p^{2}+1}}}}
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    DLMF:3.5.E14
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    J ν ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
    C10.S2.E2.m2adec
    0 references