DLMF:2.6.E14 (Q839): Difference between revisions

From testwiki
Jump to navigation Jump to search
← Older editNewer edit →
imported>Admin
imported>Admin
Property / Symbols used
 
Property / Symbols used: Q10905 / rank
 
Normal rank
Property / Symbols used: Q10905 / qualifier
 
test:

⟨ Λ , ϕ ⟩ distribution Λ italic-ϕ {\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right% \rangle}}

\intinnerprod{\NVar{\Lambda}}{\NVar{\phi}}
Property / Symbols used: Q10905 / qualifier
 
xml-id: C1.S16.SS1.p5.m5acdec

Revision as of 16:11, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:2.6.E14
No description defined

    Statements

    test
    ⟨ t - s - 1 , ϕ ⟩ = - 1 s ! ⁢ ∫ 0 ∞ ( ln ⁡ t ) ⁢ ϕ ( s + 1 ) ⁢ ( t ) ⁢ d t , distribution superscript 𝑡 𝑠 1 italic-ϕ 1 𝑠 superscript subscript 0 𝑡 superscript italic-ϕ 𝑠 1 𝑡 𝑡 {\displaystyle{\displaystyle\left\langle t^{-s-1},\phi\right\rangle=-\frac{1}{% s!}\int_{0}^{\infty}(\ln t)\phi^{(s+1)}(t)\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:2.6.E14
    0 references
    constraint
    ϕ ∈ 𝒯 italic-ϕ 𝒯 {\displaystyle{\displaystyle\phi\in\mathcal{T}}}
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1ahdec
    0 references
    Q10905
    test
    ⟨ Λ , ϕ ⟩ distribution Λ italic-ϕ {\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right% \rangle}}
    xml-id
    C1.S16.SS1.p5.m5acdec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q839&oldid=4662"