Formula:749

Digital Library of Mathematical Functions ID 2.5.E3

${\displaystyle{\displaystyle I(x)=\int_{0}^{\infty}f(t)\,h(xt)\mathrm{d}t,}}$

Constraint(s)

${\displaystyle{\displaystyle x>0}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle f(x)}}$: locally integrable function
• ${\displaystyle{\displaystyle I(x)}}$: convolution integral
• ${\displaystyle{\displaystyle h(x)}}$: function
 

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