Formula:831

Digital Library of Mathematical Functions ID 2.6.E35

${\displaystyle{\displaystyle I^{\mu}f(x)=\frac{1}{\Gamma\left(\mu\right)}(t^{\mu-1}\ast f)(x).}}$

Symbols List

• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle\mu}}$: order
• ${\displaystyle{\displaystyle I^{\mu}}}$: fractional integral (locally)
• ${\displaystyle{\displaystyle\ast}}$: convolution (locally)
• ${\displaystyle{\displaystyle f(t)}}$: locally integrable function
 

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