DLMF:13.15.E26 (Q4551): Difference between revisions

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DLMF:13.15.E26
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    Defining formula
    ( z ⁢ d d z ⁡ z ) n ⁢ ( e - 1 2 ⁢ z ⁢ z κ - 1 ⁢ W κ , μ ⁡ ( z ) ) = ( - 1 ) n ⁢ e - 1 2 ⁢ z ⁢ z κ + n - 1 ⁢ W κ + n , μ ⁡ ( z ) . superscript 𝑧 derivative 𝑧 𝑧 𝑛 superscript 𝑒 1 2 𝑧 superscript 𝑧 𝜅 1 Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 superscript 1 𝑛 superscript 𝑒 1 2 𝑧 superscript 𝑧 𝜅 𝑛 1 Whittaker-confluent-hypergeometric-W 𝜅 𝑛 𝜇 𝑧 {\displaystyle{\displaystyle\left(z\frac{\mathrm{d}}{\mathrm{d}z}z\right)^{n}% \left(e^{-\frac{1}{2}z}z^{\kappa-1}W_{\kappa,\mu}\left(z\right)\right)=(-1)^{n% }e^{-\frac{1}{2}z}z^{\kappa+n-1}W_{\kappa+n,\mu}\left(z\right).}}
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    DLMF id
    DLMF:13.15.E26
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