DLMF:1.14.E35 (Q527): 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.m1axdec

Revision as of 15:25, 1 January 2020

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DLMF:1.14.E35
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    Statements

    test
    f ⁢ ( x ) = 1 2 ⁢ π ⁢ i ⁢ ∫ σ - i ⁢ ∞ σ + i ⁢ ∞ x - s ⁢ ℳ ⁡ f ⁡ ( s ) ⁢ d s . 𝑓 𝑥 1 2 𝜋 𝑖 subscript superscript 𝜎 𝑖 𝜎 𝑖 superscript 𝑥 𝑠 Mellin-transform 𝑓 𝑠 𝑠 {\displaystyle{\displaystyle f(x)=\frac{1}{2\pi i}\int^{\sigma+i\infty}_{% \sigma-i\infty}x^{-s}\mathscr{M}\mskip-3.0mu f\mskip 3.0mu \left(s\right)% \mathrm{d}s.}}
    0 references
    DLMF id
    DLMF:1.14.E35
    0 references
    Symbols used
    Mellin transform
    test
    ℳ ⁡ ( f ) ⁡ ( s ) Mellin-transform 𝑓 𝑠 {\displaystyle{\displaystyle\mathscr{M}\left(\NVar{f}\right)\left(\NVar{s}% \right)}}
    xml-id
    C1.S14.E32.m2acdec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aldec
    0 references
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1axdec
    0 references
     
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