DLMF:3.6.E13 (Q1318)

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DLMF:3.6.E13
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    Statements

    Defining formula
    Y n ⁡ ( 1 ) ∼ ( 2 π ⁢ n ) 1 / 2 ⁢ ( 2 ⁢ n e ) n , asymptotically-equals Bessel-Y-Weber 𝑛 1 superscript 2 𝑛 1 2 superscript 2 𝑛 𝑒 𝑛 {\displaystyle{\displaystyle Y_{n}\left(1\right)\sim\left(\frac{2}{\pi n}% \right)^{1/2}\left(\frac{2n}{e}\right)^{n},}}
    0 references
    DLMF id
    DLMF:3.6.E13
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    Symbols used
    Bessel function of the second kind
    Defining formula
    Y ν ⁡ ( z ) Bessel-Y-Weber 𝜈 𝑧 {\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.E3.m2adec
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    asymptotic equality
    Defining formula
    ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.E1.m2aadec
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    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aadec
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