DLMF:10.51#Ex11 (Q3745)

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DLMF:10.51#Ex11
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    ( 1 z d d z ) m ( z n + 1 g n ( z ) ) = z n - m + 1 g n - m ( z ) , superscript 1 𝑧 derivative 𝑧 𝑚 superscript 𝑧 𝑛 1 subscript 𝑔 𝑛 𝑧 superscript 𝑧 𝑛 𝑚 1 subscript 𝑔 𝑛 𝑚 𝑧 {\displaystyle{\displaystyle\left(\frac{1}{z}\frac{\mathrm{d}}{\mathrm{d}z}% \right)^{m}(z^{n+1}g_{n}(z))=z^{n-m+1}g_{n-m}(z),}}
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