DLMF:13.18.E9 (Q4578)

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DLMF:13.18.E9
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    Statements

    Defining formula
    W 0 , ν ⁡ ( 2 ⁢ z ) = 2 ⁢ z / π ⁢ K ν ⁡ ( z ) , Whittaker-confluent-hypergeometric-W 0 𝜈 2 𝑧 2 𝑧 𝜋 modified-Bessel-second-kind 𝜈 𝑧 {\displaystyle{\displaystyle W_{0,\nu}\left(2z\right)=\sqrt{\ifrac{2z}{\pi}}K_% {\nu}\left(z\right),}}
    0 references
    DLMF id
    DLMF:13.18.E9
    0 references
    Symbols used
    Whittaker confluent hypergeometric function
    Defining formula
    W κ , μ ⁡ ( z ) Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}
    xml-id
    C13.S14.E3.m2acdec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2abdec
    0 references
     
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