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DLMF:10.29#Ex7
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MaRDI QID
Q4207
Label: DLMF:10.29#Ex7
Digital Library of Mathematical Functions ID
10.29#Ex7
(
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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