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DLMF:13.29.E2 - MaRDI portal

DLMF:13.29.E2 (Q5366)

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DLMF:13.29.E2
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    Statements

    DLMF defining formula
    y ⁢ ( n ) = z - n - μ - 1 2 ⁢ M κ , n + μ ⁡ ( z ) , 𝑦 𝑛 superscript 𝑧 𝑛 𝜇 1 2 Whittaker-confluent-hypergeometric-M 𝜅 𝑛 𝜇 𝑧 {\displaystyle{\displaystyle y(n)=z^{-n-\mu-\frac{1}{2}}M_{\kappa,n+\mu}\left(% z\right),}}
    0 references
    Symbols used
    Whittaker confluent hypergeometric function
    DLMF defining formula
    M κ , μ ⁡ ( z ) Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}
    xml-id
    C13.S14.E2.m2adec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C13.S1.XMD2.m1adec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1adec
    0 references
     
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