DLMF:2.6.E12 (Q837)

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DLMF:2.6.E12
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    Statements

    test
    ⟨ t - α , ϕ ⟩ = ∫ 0 ∞ t - α ⁢ ϕ ⁢ ( t ) ⁢ d t , distribution superscript 𝑡 𝛼 italic-ϕ superscript subscript 0 superscript 𝑡 𝛼 italic-ϕ 𝑡 𝑡 {\displaystyle{\displaystyle\left\langle t^{-\alpha},\phi\right\rangle=\int_{0% }^{\infty}t^{-\alpha}\phi(t)\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:2.6.E12
    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.m1afdec
    0 references
     
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