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DLMF:10.6#Ex9
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MaRDI QID
Q3739
Label: DLMF:10.6#Ex9
Digital Library of Mathematical Functions ID
10.6#Ex9
(
1
z
β’
d
d
z
)
k
β‘
(
z
Ξ½
β’
π
Ξ½
β‘
(
z
)
)
=
z
Ξ½
-
k
β’
π
Ξ½
-
k
β‘
(
z
)
,
superscript
1
π§
derivative
π§
π
superscript
π§
π
cylinder-function
π
π§
superscript
π§
π
π
cylinder-function
π
π
π§
{\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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