Formula:808

Digital Library of Mathematical Functions ID 2.6.E13

${\displaystyle{\displaystyle\left\langle t^{-s-\alpha},\phi\right\rangle=\frac{1}{{\left(\alpha\right)_{s}}}\int_{0}^{\infty}t^{-\alpha}\phi^{(s)}(t)\mathrm{d}t,}}$

Constraint(s)

${\displaystyle{\displaystyle\phi\in\mathcal{T}}}$

Symbols List

• ${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$:
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right\rangle}}$:
• ${\displaystyle{\displaystyle\in}}$:
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\mathcal{T}}}$: space of decreasing functions
 

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