DLMF:13.15.E11 (Q4536)

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DLMF:13.15.E11
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    Statements

    Defining formula
    W κ + 1 , μ ⁡ ( z ) + ( 2 ⁢ κ - z ) ⁢ W κ , μ ⁡ ( z ) + ( κ - μ - 1 2 ) ⁢ ( κ + μ - 1 2 ) ⁢ W κ - 1 , μ ⁡ ( z ) = 0 , Whittaker-confluent-hypergeometric-W 𝜅 1 𝜇 𝑧 2 𝜅 𝑧 Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 𝜅 𝜇 1 2 𝜅 𝜇 1 2 Whittaker-confluent-hypergeometric-W 𝜅 1 𝜇 𝑧 0 {\displaystyle{\displaystyle W_{\kappa+1,\mu}\left(z\right)+(2\kappa-z)W_{% \kappa,\mu}\left(z\right)+(\kappa-\mu-\tfrac{1}{2})(\kappa+\mu-\tfrac{1}{2})W_% {\kappa-1,\mu}\left(z\right)=0,}}
    0 references
    DLMF id
    DLMF:13.15.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.m2acdec
    0 references
    Q11557
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1jdec
    0 references
     
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