DLMF:10.30.E3 (Q3515)

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DLMF:10.30.E3
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    Statements

    Defining formula
    K 0 ⁡ ( z ) ∼ - ln ⁡ z . asymptotically-equals modified-Bessel-second-kind 0 𝑧 𝑧 {\displaystyle{\displaystyle K_{0}\left(z\right)\sim-\ln z.}}
    0 references
    DLMF id
    DLMF:10.30.E3
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    Symbols used
    asymptotic equality
    Defining formula
    ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.E1.m2abdec
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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.m2aadec
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    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2adec
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    Q11426
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C10.S1.XMD6.m1bdec
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