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Formula:508

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Digital Library of Mathematical Functions ID 1.14.E47

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.}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
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