DLMF:13.18.E11 (Q4580)

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DLMF:13.18.E11
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    Statements

    Defining formula
    W - 1 2 ⁢ a , ± 1 4 ⁡ ( 1 2 ⁢ z 2 ) = 2 1 2 ⁢ a ⁢ z ⁢ U ⁡ ( a , z ) , Whittaker-confluent-hypergeometric-W 1 2 𝑎 plus-or-minus 1 4 1 2 superscript 𝑧 2 superscript 2 1 2 𝑎 𝑧 parabolic-U 𝑎 𝑧 {\displaystyle{\displaystyle W_{-\frac{1}{2}a,\pm\frac{1}{4}}\left(\tfrac{1}{2% }z^{2}\right)=2^{\frac{1}{2}a}\sqrt{z}U(a,z),}}
    0 references
    DLMF id
    DLMF:13.18.E11
    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.m2aedec
    0 references
     
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