DLMF:13.14.E16 (Q4505)

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DLMF:13.14.E16
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    Statements

    Defining formula
    W κ , μ ⁡ ( z ) = Γ ⁡ ( 2 ⁢ μ ) Γ ⁡ ( 1 2 + μ - κ ) ⁢ z 1 2 - μ + O ⁡ ( z 3 2 - ℜ ⁡ μ ) , Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 Euler-Gamma 2 𝜇 Euler-Gamma 1 2 𝜇 𝜅 superscript 𝑧 1 2 𝜇 Big-O superscript 𝑧 3 2 𝜇 {\displaystyle{\displaystyle W_{\kappa,\mu}\left(z\right)=\frac{\Gamma\left(2% \mu\right)}{\Gamma\left(\frac{1}{2}+\mu-\kappa\right)}z^{\frac{1}{2}-\mu}+O% \left(z^{\frac{3}{2}-\Re\mu}\right),}}
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    DLMF id
    DLMF:13.14.E16
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    constraint
    ℜ ⁡ μ ≥ 1 2 𝜇 1 2 {\displaystyle{\displaystyle\Re\mu\geq\frac{1}{2}}}
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