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1.15.E52 - MaRDI portal

1.15.E52 (Q564)

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1.15.E52
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    Statements

    DLMF defining formula
    D k ⁢ I α = D n ⁢ I α + n - k , superscript 𝐷 𝑘 superscript 𝐼 𝛼 superscript 𝐷 𝑛 superscript 𝐼 𝛼 𝑛 𝑘 {\displaystyle{\displaystyle D^{k}I^{\alpha}=D^{n}I^{\alpha+n-k},}}
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    comment
    Warning: Falling back to standard tex;
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    constraint
    k = 1 , 2 , … , n 𝑘 1 2 … 𝑛 {\displaystyle{\displaystyle k=1,2,\dots,n}}
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    Symbols used
    integer
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C1.S1.XMD4.m1edec
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    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1ydec
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    fractional integral (locally)
    DLMF defining formula
    I α superscript 𝐼 𝛼 {\displaystyle{\displaystyle I^{\alpha}}}
    xml-id
    C1.S15.XMD12.m1ddec
    0 references
    fractional derivative (locally)
    DLMF defining formula
    D α superscript 𝐷 𝛼 {\displaystyle{\displaystyle D^{\alpha}}}
    xml-id
    C1.S15.XMD13.m1adec
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    Identifiers

     
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