Formula:834

Digital Library of Mathematical Functions ID 2.6.E38

${\displaystyle{\displaystyle t^{\mu-1}\ast{\delta^{(s-1)}}=\frac{\Gamma\left(\mu\right)}{\Gamma\left(\mu+1-s\right)}t^{\mu-s},}}$

Constraint(s)

${\displaystyle{\displaystyle t>0}}$

Symbols List

• ${\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}$:
• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle\mu}}$: order
• ${\displaystyle{\displaystyle\ast}}$: convolution (locally)
 

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