DLMF:1.14.E47 (Q539): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1aajdec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
test:

{\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3aagdec

Latest revision as of 15:27, 1 January 2020

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DLMF:1.14.E47
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    Statements

    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
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aajdec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3aagdec
    0 references