DLMF:1.14.E47 (Q539)

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DLMF:1.14.E47
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    Statements

    test
    𝒮 ⁡ ( f ) ⁡ ( s ) = 𝒮 ⁡ f ⁡ ( s ) = ∫ 0 ∞ f ⁢ ( t ) s + t ⁢ d t Stieltjes-transform 𝑓 𝑠 Stieltjes-transform 𝑓 𝑠 subscript superscript 0 𝑓 𝑡 𝑠 𝑡 𝑡 {\displaystyle{\displaystyle\mathcal{S}\left(f\right)\left(s\right)=\mathcal{S% }\mskip-3.0mu f\mskip 3.0mu \left(s\right)=\int^{\infty}_{0}\frac{f(t)}{s+t}% \mathrm{d}t}}
    0 references
    DLMF id
    DLMF:1.14.E47
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aajdec
    0 references
    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aagdec
    0 references
     
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