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DLMF:10.6#Ex9 - MaRDI portal

DLMF:10.6#Ex9 (Q3739)

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DLMF:10.6#Ex9
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    DLMF defining formula
    ( 1 z ⁢ d d z ) k ⁡ ( z ν ⁢ 𝒞 ν ⁡ ( z ) ) = z ν - k ⁢ 𝒞 ν - k ⁡ ( z ) , superscript 1 𝑧 derivative 𝑧 𝑘 superscript 𝑧 𝜈 cylinder-function 𝜈 𝑧 superscript 𝑧 𝜈 𝑘 cylinder-function 𝜈 𝑘 𝑧 {\displaystyle{\displaystyle\left(\frac{1}{z}\frac{\mathrm{d}}{\mathrm{d}z}% \right)^{k}\left(z^{\nu}\mathscr{C}_{\nu}\left(z\right)\right)=z^{\nu-k}% \mathscr{C}_{\nu-k}\left(z\right),}}
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