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DLMF:10.52.E6 - MaRDI portal

DLMF:10.52.E6 (Q4451)

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DLMF:10.52.E6
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    Statements

    DLMF defining formula
    𝗄 n ⁡ ( z ) ∼ 1 2 ⁢ π ⁢ z - 1 ⁢ e - z . asymptotically-equals spherical-Bessel-K 𝑛 𝑧 1 2 𝜋 superscript 𝑧 1 superscript 𝑒 𝑧 {\displaystyle{\displaystyle\mathsf{k}_{n}\left(z\right)\sim\tfrac{1}{2}\pi z^% {-1}e^{-z}.}}
    0 references
    Symbols used
    asymptotic equality
    DLMF defining formula
    ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.E1.m2addec
    0 references
    the ratio of the circumference of a circle to its diameter
    DLMF defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2acdec
    0 references
    base of natural logarithm
    DLMF defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2acdec
    0 references
    modified spherical Bessel function
    DLMF defining formula
    𝗄 n ⁡ ( z ) spherical-Bessel-K 𝑛 𝑧 {\displaystyle{\displaystyle\mathsf{k}_{\NVar{n}}\left(\NVar{z}\right)}}
    xml-id
    C10.S47.E9.m2aadec
    0 references
    integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C10.S1.XMD2.m1edec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C10.S1.XMD6.m1edec
    0 references

    Identifiers

     
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