DLMF:1.14.E47 (Q539)

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DLMF:1.14.E47
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    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.}}
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