DLMF:13.15.E8 (Q4533)

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DLMF:13.15.E8
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    Statements

    test
    W κ + 1 2 , μ + 1 2 ⁡ ( z ) - z ⁢ W κ , μ ⁡ ( z ) + ( κ - μ - 1 2 ) ⁢ W κ - 1 2 , μ + 1 2 ⁡ ( z ) = 0 , Whittaker-confluent-hypergeometric-W 𝜅 1 2 𝜇 1 2 𝑧 𝑧 Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 𝜅 𝜇 1 2 Whittaker-confluent-hypergeometric-W 𝜅 1 2 𝜇 1 2 𝑧 0 {\displaystyle{\displaystyle W_{\kappa+\frac{1}{2},\mu+\frac{1}{2}}\left(z% \right)-\sqrt{z}W_{\kappa,\mu}\left(z\right)+(\kappa-\mu-\tfrac{1}{2})W_{% \kappa-\frac{1}{2},\mu+\frac{1}{2}}\left(z\right)=0,}}
    0 references
    DLMF id
    DLMF:13.15.E8
    0 references
    Symbols used
    Whittaker confluent hypergeometric function
    test
    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.m2adec
    0 references
    Q11557
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1gdec
    0 references
     
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