DLMF:1.14.E40 (Q532): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
Defining formula:

∫ {\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3aabdec

Revision as of 16:26, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:1.14.E40
No description defined

    Statements

    Defining formula
    ∫ 0 ∞ x s - 1 ⁢ ( f * g ) ⁢ ( x ) ⁢ d x = ℳ ⁡ f ⁡ ( s ) ⁢ ℳ ⁡ g ⁡ ( s ) . subscript superscript 0 superscript 𝑥 𝑠 1 𝑓 𝑔 𝑥 𝑥 Mellin-transform 𝑓 𝑠 Mellin-transform 𝑔 𝑠 {\displaystyle{\displaystyle\int^{\infty}_{0}x^{s-1}(f*g)(x)\mathrm{d}x=% \mathscr{M}\mskip-3.0mu f\mskip 3.0mu \left(s\right)\mathscr{M}\mskip-3.0mu g% \mskip 3.0mu \left(s\right).}}
    0 references
    DLMF id
    DLMF:1.14.E40
    0 references
    Symbols used
    Mellin transform
    Defining formula
    ℳ ⁡ ( f ) ⁡ ( s ) Mellin-transform 𝑓 𝑠 {\displaystyle{\displaystyle\mathscr{M}\left(\NVar{f}\right)\left(\NVar{s}% \right)}}
    xml-id
    C1.S14.E32.m2agdec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aacdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aabdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q532&oldid=23364"