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1.16#Ex2
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Formula:602
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MaRDI QID
Q602
Label: 1.16#Ex2
Digital Library of Mathematical Functions ID
1.16#Ex2
D
𝜶
=
i
-
|
𝜶
|
D
𝜶
=
(
1
i
∂
∂
x
1
)
α
1
⋯
(
1
i
∂
∂
x
n
)
α
n
.
subscript
𝐷
𝜶
imaginary-unit
𝜶
superscript
𝐷
𝜶
superscript
1
imaginary-unit
partial-derivative
subscript
𝑥
1
subscript
𝛼
1
⋯
superscript
1
imaginary-unit
partial-derivative
subscript
𝑥
𝑛
subscript
𝛼
𝑛
{\displaystyle{\displaystyle D_{\boldsymbol{{\alpha}}}={\mathrm{i}^{-|% \boldsymbol{{\alpha}}|}}D^{\boldsymbol{{\alpha}}}=\left(\frac{1}{\mathrm{i}}% \frac{\partial}{\partial x_{1}}\right)^{\alpha_{1}}\cdots\left(\frac{1}{% \mathrm{i}}\frac{\partial}{\partial x_{n}}\right)^{\alpha_{n}}.}}
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