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2.5.E30 - MaRDI portal

2.5.E30 (Q776)

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2.5.E30
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    Statements

    DLMF defining formula
    I j ⁢ k ⁢ ( x ) = ∫ 0 ∞ f j ⁢ ( t ) ⁢ h k ⁢ ( x ⁢ t ) ⁢ d t . subscript 𝐼 𝑗 𝑘 𝑥 superscript subscript 0 subscript 𝑓 𝑗 𝑡 subscript ℎ 𝑘 𝑥 𝑡 𝑡 {\displaystyle{\displaystyle I_{jk}(x)=\int_{0}^{\infty}f_{j}(t)h_{k}(xt)% \mathrm{d}t.}}
    0 references
    Symbols used
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1afdec
    0 references
    integral
    DLMF defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3afdec
    0 references
    locally integrable function
    DLMF defining formula
    h ⁢ ( x ) ℎ 𝑥 {\displaystyle{\displaystyle h(x)}}
    xml-id
    C2.S5.XMD16.m1fdec
    0 references
    truncated functions
    DLMF defining formula
    f j ⁢ ( t ) subscript 𝑓 𝑗 𝑡 {\displaystyle{\displaystyle f_{j}(t)}}
    xml-id
    C2.S5.XMD19.m1ddec
    0 references
    convolution integral
    DLMF defining formula
    I ⁢ ( x ) 𝐼 𝑥 {\displaystyle{\displaystyle I(x)}}
    xml-id
    C2.S5.XMD5.m1hdec
    0 references

    Identifiers

     
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