DLMF:10.51#Ex5 (Q3739): Difference between revisions

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Property / constraint
 

m = 0 , 1 , , n 𝑚 0 1 𝑛 {\displaystyle{\displaystyle m=0,1,\dots,n}}

m=0,1,\dots,n
Property / constraint: m = 0 , 1 , , n 𝑚 0 1 𝑛 {\displaystyle{\displaystyle m=0,1,\dots,n}} / rank
 
Normal rank

Latest revision as of 17:41, 30 December 2019

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DLMF:10.51#Ex5
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    ( 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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    m = 0 , 1 , , n 𝑚 0 1 𝑛 {\displaystyle{\displaystyle m=0,1,\dots,n}}
    0 references