DLMF:10.51#Ex12 (Q3746): Difference between revisions

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Property / constraint
 

m = 0 , 1 , . 𝑚 0 1 {\displaystyle{\displaystyle m=0,1,\ldots.}}

m=0,1,\dotsc.
Property / constraint: m = 0 , 1 , . 𝑚 0 1 {\displaystyle{\displaystyle m=0,1,\ldots.}} / rank
 
Normal rank

Latest revision as of 17:41, 30 December 2019

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DLMF:10.51#Ex12
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    Statements

    ( 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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    m = 0 , 1 , . 𝑚 0 1 {\displaystyle{\displaystyle m=0,1,\ldots.}}
    0 references