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DLMF:10.25.E3 - MaRDI portal

DLMF:10.25.E3 (Q4187)

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DLMF:10.25.E3
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    Statements

    DLMF defining formula
    K ν ⁡ ( z ) ∼ π / ( 2 ⁢ z ) ⁢ e - z , asymptotically-equals modified-Bessel-second-kind 𝜈 𝑧 𝜋 2 𝑧 superscript 𝑒 𝑧 {\displaystyle{\displaystyle K_{\nu}\left(z\right)\sim\sqrt{\pi/(2z)}e^{-z},}}
    0 references
    Symbols used
    asymptotic equality
    DLMF defining formula
    ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.E1.m2adec
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    the ratio of the circumference of a circle to its diameter
    DLMF defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
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    base of natural logarithm
    DLMF defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C10.S1.XMD6.m1bdec
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    complex parameter
    DLMF defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C10.S1.XMD7.m1bdec
    0 references

    Identifiers

     
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