DLMF:1.14.E32 (Q524): Difference between revisions

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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.m3audec

Latest revision as of 15:25, 1 January 2020

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DLMF:1.14.E32
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    Statements

    test
    ℳ ⁡ ( f ) ⁡ ( s ) = ℳ ⁡ f ⁡ ( s ) = ∫ 0 ∞ x s - 1 ⁢ f ⁢ ( x ) ⁢ d x . Mellin-transform 𝑓 𝑠 Mellin-transform 𝑓 𝑠 subscript superscript 0 superscript 𝑥 𝑠 1 𝑓 𝑥 𝑥 {\displaystyle{\displaystyle\mathscr{M}\left(f\right)\left(s\right)=\mathscr{M% }\mskip-3.0mu f\mskip 3.0mu \left(s\right)=\int^{\infty}_{0}x^{s-1}f(x)\mathrm% {d}x.}}
    0 references
    DLMF id
    DLMF:1.14.E32
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1avdec
    0 references
    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3audec
    0 references
     
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