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

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Property / Symbols used
 
Property / Symbols used: Q10908 / rank
 
Normal rank
Property / Symbols used: Q10908 / qualifier
 
test:

δ x Dirac-delta-distribution 𝑥 {\displaystyle{\displaystyle\delta_{x}}}

\deltaDistribution[x]
Property / Symbols used: Q10908 / qualifier
 
xml-id: C1.S16.SS3.m1aedec
Property / Symbols used
 
Property / Symbols used: Q10761 / rank
 
Normal rank
Property / Symbols used: Q10761 / qualifier
 
test:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q10761 / qualifier
 
xml-id: C1.S1.XMD6.m1dec
Property / Symbols used
 
Property / Symbols used: Q10909 / rank
 
Normal rank
Property / Symbols used: Q10909 / qualifier
 
test:

D ⁢ f 𝐷 𝑓 {\displaystyle{\displaystyle Df}}

Df
Property / Symbols used: Q10909 / qualifier
 
xml-id: C1.S16.XMD6.m1bdec

Latest revision as of 15:35, 1 January 2020

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DLMF:1.16.E18
No description defined

    Statements

    test
    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}},}}
    0 references
    DLMF id
    DLMF:1.16.E18
    0 references
    constraint
    m = 1 , 2 , … 𝑚 1 2 … {\displaystyle{\displaystyle m=1,2,\dots}}
    0 references
    Symbols used
    Q10908
    test
    δ x Dirac-delta-distribution 𝑥 {\displaystyle{\displaystyle\delta_{x}}}
    xml-id
    C1.S16.SS3.m1aedec
    0 references
    Q10761
    test
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C1.S1.XMD6.m1dec
    0 references
    Q10909
    test
    D ⁢ f 𝐷 𝑓 {\displaystyle{\displaystyle Df}}
    xml-id
    C1.S16.XMD6.m1bdec
    0 references
     
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