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

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Property / constraint
 

ϕ 𝒯 italic-ϕ 𝒯 {\displaystyle{\displaystyle\phi\in\mathcal{T}}}

\phi\in\mathcal{T}
Property / constraint: ϕ 𝒯 italic-ϕ 𝒯 {\displaystyle{\displaystyle\phi\in\mathcal{T}}} / rank
 
Normal rank

Revision as of 15:53, 30 December 2019

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DLMF:2.6.E14
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    Statements

    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,}}
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    ϕ 𝒯 italic-ϕ 𝒯 {\displaystyle{\displaystyle\phi\in\mathcal{T}}}
    0 references