DLMF:1.16.E18 (Q618): Difference between revisions

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Property / constraint
 

m = 1 , 2 , 𝑚 1 2 {\displaystyle{\displaystyle m=1,2,\dots}}

m=1,2,\dots
Property / constraint: m = 1 , 2 , 𝑚 1 2 {\displaystyle{\displaystyle m=1,2,\dots}} / rank
 
Normal rank

Revision as of 15:50, 30 December 2019

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DLMF:1.16.E18
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    Statements

    D m f = f ( m ) + σ 0 δ x 0 ( m - 1 ) + σ 1 δ x 0 ( m - 2 ) + + σ m - 1 δ x 0 , superscript 𝐷 𝑚 𝑓 superscript 𝑓 𝑚 subscript 𝜎 0 Dirac-delta-distribution subscript 𝑥 0 𝑚 1 subscript 𝜎 1 Dirac-delta-distribution subscript 𝑥 0 𝑚 2 subscript 𝜎 𝑚 1 Dirac-delta-distribution subscript 𝑥 0 {\displaystyle{\displaystyle D^{m}f=f^{(m)}+\sigma_{0}{\delta_{x_{0}}^{(m-1)}}% +\sigma_{1}{\delta_{x_{0}}^{(m-2)}}+\dots+\sigma_{m-1}\delta_{x_{0}},}}
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    m = 1 , 2 , 𝑚 1 2 {\displaystyle{\displaystyle m=1,2,\dots}}
    0 references