DLMF:1.16#Ex2 (Q632)

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DLMF:1.16#Ex2
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    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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    DLMF:1.16#Ex2
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