DLMF:1.14.E38 (Q530)

From testwiki
Revision as of 15:26, 1 January 2020 by imported>Admin (Admin moved page Main Page to Verifying DLMF with Maple and Mathematica)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:1.14.E38
No description defined

    Statements

    test
    ∫ 0 ∞ ( f ⁢ ( x ) ) 2 ⁢ d x = 1 2 ⁢ π ⁢ ∫ - ∞ ∞ | ℳ ⁡ f ⁡ ( 1 2 + i ⁢ t ) | 2 ⁢ d t . subscript superscript 0 superscript 𝑓 𝑥 2 𝑥 1 2 𝜋 subscript superscript Mellin-transform 𝑓 1 2 𝑖 𝑡 2 𝑡 {\displaystyle{\displaystyle\int^{\infty}_{0}(f(x))^{2}\mathrm{d}x=\frac{1}{2% \pi}\int^{\infty}_{-\infty}{\left|\mathscr{M}\mskip-3.0mu f\mskip 3.0mu \left(% \tfrac{1}{2}+it\right)\right|^{2}}\mathrm{d}t.}}
    0 references
    DLMF id
    DLMF:1.14.E38
    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.m2afdec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q530&oldid=2890"