DLMF:10.45.E2 (Q3657)

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DLMF:10.45.E2
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    Statements

    Defining formula
    K ~ ν ⁡ ( x ) = K i ⁢ ν ⁡ ( x ) . modified-Bessel-second-kind-imaginary-order 𝜈 𝑥 modified-Bessel-second-kind 𝑖 𝜈 𝑥 {\displaystyle{\displaystyle\displaystyle\widetilde{K}_{\nu}\left(x\right)=K_{% i\nu}\left(x\right).}}
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    DLMF id
    DLMF:10.45.E2
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    comment
    Warning: Part 2 of multicontent tex element;
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    Symbols used
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
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    modified Bessel function of the first kind
    Defining formula
    I ν ⁡ ( z ) modified-Bessel-first-kind 𝜈 𝑧 {\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S25.E2.m2adec
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    modified Bessel function of the second kind
    Defining formula
    K ν ⁡ ( z ) modified-Bessel-second-kind 𝜈 𝑧 {\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S25.E3.m2adec
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    Q10811
    Defining formula
    ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}
    xml-id
    C1.S9.E2.m1adec
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    Q11435
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C10.S1.XMD4.m1adec
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    Q11427
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C10.S1.XMD7.m1adec
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