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Formula:830

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Digital Library of Mathematical Functions ID 2.6.E34

( f ∗ g ) ⁢ ( x ) = ∫ 0 x f ⁢ ( x - t ) ⁢ g ⁢ ( t ) ⁢ d t ∗ 𝑓 𝑔 𝑥 superscript subscript 0 𝑥 𝑓 𝑥 𝑡 𝑔 𝑡 𝑡 {\displaystyle{\displaystyle(f\ast g)(x)=\int_{0}^{x}f(x-t)g(t)\mathrm{d}t}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • g ⁢ ( t ) 𝑔 𝑡 {\displaystyle{\displaystyle g(t)}} : locally integrable function
  • f ⁢ ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}} : locally integrable function
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This page was last edited on 28 January 2024, at 10:02.
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