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DLMF:10.29#Ex7 - MaRDI portal

DLMF:10.29#Ex7 (Q4207)

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DLMF:10.29#Ex7
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    DLMF defining formula
    ( 1 z ⁢ d d z ) k ⁡ ( z ν ⁢ 𝒵 ν ⁡ ( z ) ) = z ν - k ⁢ 𝒵 ν - k ⁡ ( z ) , superscript 1 𝑧 derivative 𝑧 𝑘 superscript 𝑧 𝜈 modified-cylinder-function 𝜈 𝑧 superscript 𝑧 𝜈 𝑘 modified-cylinder-function 𝜈 𝑘 𝑧 {\displaystyle{\displaystyle\left(\frac{1}{z}\frac{\mathrm{d}}{\mathrm{d}z}% \right)^{k}(z^{\nu}\mathscr{Z}_{\nu}\left(z\right))=z^{\nu-k}\mathscr{Z}_{\nu-% k}\left(z\right),}}
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