DLMF:13.17.E3 (Q4567)

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DLMF:13.17.E3
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    Statements

    Defining formula
    W κ , μ ⁡ ( z ) z ⁢ W κ - 1 2 , μ - 1 2 ⁡ ( z ) = 1 + v 1 / z 1 + v 2 / z 1 + ⋯ , Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 𝑧 Whittaker-confluent-hypergeometric-W 𝜅 1 2 𝜇 1 2 𝑧 1 continued-fraction subscript 𝑣 1 𝑧 1 continued-fraction subscript 𝑣 2 𝑧 1 ⋯ {\displaystyle{\displaystyle\frac{W_{\kappa,\mu}\left(z\right)}{\sqrt{z}W_{% \kappa-\frac{1}{2},\mu-\frac{1}{2}}\left(z\right)}=1+\cfrac{v_{1}/z}{1+\cfrac{% v_{2}/z}{1+\cdots}},}}
    0 references
    DLMF id
    DLMF:13.17.E3
    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.m2adec
    0 references
    Q11557
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1adec
    0 references
     
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