DLMF:10.28.E2 (Q3503): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11426 / rank
 
Normal rank
Property / Symbols used: Q11426 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11426 / qualifier
 
xml-id: C10.S1.XMD6.m1adec

Revision as of 13:37, 2 January 2020

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DLMF:10.28.E2
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    Statements

    test
    𝒲 ⁡ { K ν ⁡ ( z ) , I ν ⁡ ( z ) } = I ν ⁡ ( z ) ⁢ K ν + 1 ⁡ ( z ) + I ν + 1 ⁡ ( z ) ⁢ K ν ⁡ ( z ) = 1 / z . Wronskian modified-Bessel-second-kind 𝜈 𝑧 modified-Bessel-first-kind 𝜈 𝑧 modified-Bessel-first-kind 𝜈 𝑧 modified-Bessel-second-kind 𝜈 1 𝑧 modified-Bessel-first-kind 𝜈 1 𝑧 modified-Bessel-second-kind 𝜈 𝑧 1 𝑧 {\displaystyle{\displaystyle\mathscr{W}\left\{K_{\nu}\left(z\right),I_{\nu}% \left(z\right)\right\}=I_{\nu}\left(z\right)K_{\nu+1}\left(z\right)+I_{\nu+1}% \left(z\right)K_{\nu}\left(z\right)=1/z.}}
    0 references
    DLMF id
    DLMF:10.28.E2
    0 references
    Symbols used
    Q10865
    test
    𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}}
    xml-id
    C1.S13.Px2.p1.m3aadec
    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.m2aadec
    0 references
    modified Bessel function of the second kind
    test
    K ν ⁡ ( z ) modified-Bessel-second-kind 𝜈 𝑧 {\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S25.E3.m2adec
    0 references
    Q11426
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C10.S1.XMD6.m1adec
    0 references
     
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