DLMF:10.28.E1 (Q3502): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: modified Bessel function of the first kind / rank
 
Normal rank
Property / Symbols used: modified Bessel function of the first kind / qualifier
 
test:

I ν ⁡ ( z ) modified-Bessel-first-kind 𝜈 𝑧 {\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}

\modBesselI{\NVar{\nu}}@{\NVar{z}}
Property / Symbols used: modified Bessel function of the first kind / qualifier
 
xml-id: C10.S25.E2.m2adec

Revision as of 13:37, 2 January 2020

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English
DLMF:10.28.E1
No description defined

    Statements

    test
    𝒲 ⁡ { I ν ⁡ ( z ) , I - ν ⁡ ( z ) } = I ν ⁡ ( z ) ⁢ I - ν - 1 ⁡ ( z ) - I ν + 1 ⁡ ( z ) ⁢ I - ν ⁡ ( z ) = - 2 ⁢ sin ⁡ ( ν ⁢ π ) / ( π ⁢ z ) , Wronskian modified-Bessel-first-kind 𝜈 𝑧 modified-Bessel-first-kind 𝜈 𝑧 modified-Bessel-first-kind 𝜈 𝑧 modified-Bessel-first-kind 𝜈 1 𝑧 modified-Bessel-first-kind 𝜈 1 𝑧 modified-Bessel-first-kind 𝜈 𝑧 2 𝜈 𝜋 𝜋 𝑧 {\displaystyle{\displaystyle\mathscr{W}\left\{I_{\nu}\left(z\right),I_{-\nu}% \left(z\right)\right\}=I_{\nu}\left(z\right)I_{-\nu-1}\left(z\right)-I_{\nu+1}% \left(z\right)I_{-\nu}\left(z\right)=-2\sin\left(\nu\pi\right)/(\pi z),}}
    0 references
    DLMF id
    DLMF:10.28.E1
    0 references
    Symbols used
    Q10865
    test
    𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}}
    xml-id
    C1.S13.Px2.p1.m3adec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
    0 references
    modified Bessel function of the first kind
    test
    I ν ⁡ ( z ) modified-Bessel-first-kind 𝜈 𝑧 {\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S25.E2.m2adec
    0 references
     
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