DLMF:10.35.E4 (Q3553)

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DLMF:10.35.E4
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    Statements

    test
    1 = I 0 ⁡ ( z ) - 2 ⁢ I 2 ⁡ ( z ) + 2 ⁢ I 4 ⁡ ( z ) - 2 ⁢ I 6 ⁡ ( z ) + ⋯ , 1 modified-Bessel-first-kind 0 𝑧 2 modified-Bessel-first-kind 2 𝑧 2 modified-Bessel-first-kind 4 𝑧 2 modified-Bessel-first-kind 6 𝑧 ⋯ {\displaystyle{\displaystyle 1=I_{0}\left(z\right)-2I_{2}\left(z\right)+2I_{4}% \left(z\right)-2I_{6}\left(z\right)+\cdots,}}
    0 references
    DLMF id
    DLMF:10.35.E4
    0 references
    Symbols used
    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.m2acdec
    0 references
    Q11426
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C10.S1.XMD6.m1cdec
    0 references
     
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