DLMF:10.51#Ex12 (Q3746)

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DLMF:10.51#Ex12
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    test
    ( 1 z ⁢ d d z ) m ⁡ ( z - n ⁢ g n ⁢ ( z ) ) = z - n - m ⁢ g n + m ⁢ ( z ) , superscript 1 𝑧 derivative 𝑧 𝑚 superscript 𝑧 𝑛 subscript 𝑔 𝑛 𝑧 superscript 𝑧 𝑛 𝑚 subscript 𝑔 𝑛 𝑚 𝑧 {\displaystyle{\displaystyle\left(\frac{1}{z}\frac{\mathrm{d}}{\mathrm{d}z}% \right)^{m}(z^{-n}g_{n}(z))=z^{-n-m}g_{n+m}(z),}}
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    DLMF:10.51#Ex12
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