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Formula:500

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Digital Library of Mathematical Functions ID 1.14.E39

( f * g ) ⁢ ( x ) = ∫ 0 ∞ f ⁢ ( y ) ⁢ g ⁢ ( x y ) ⁢ d y y . 𝑓 𝑔 𝑥 subscript superscript 0 𝑓 𝑦 𝑔 𝑥 𝑦 𝑦 𝑦 {\displaystyle{\displaystyle(f*g)(x)=\int^{\infty}_{0}f(y)g\left(\frac{x}{y}% \right)\frac{\mathrm{d}y}{y}.}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
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