DLMF:10.51#Ex5 (Q3739)

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DLMF:10.51#Ex5
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    test
    ( 1 z ⁢ d d z ) m ⁡ ( z n + 1 ⁢ f n ⁢ ( z ) ) = z n - m + 1 ⁢ f n - m ⁢ ( z ) , superscript 1 𝑧 derivative 𝑧 𝑚 superscript 𝑧 𝑛 1 subscript 𝑓 𝑛 𝑧 superscript 𝑧 𝑛 𝑚 1 subscript 𝑓 𝑛 𝑚 𝑧 {\displaystyle{\displaystyle\left(\frac{1}{z}\frac{\mathrm{d}}{\mathrm{d}z}% \right)^{m}(z^{n+1}f_{n}(z))=z^{n-m+1}f_{n-m}(z),}}
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    DLMF:10.51#Ex5
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