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Formula:850

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Digital Library of Mathematical Functions ID 2.6.E54

I ⁢ ( x ) = ∫ 0 ∞ f ⁢ ( t ) ⁢ h ⁢ ( x ⁢ t ) ⁢ d t . 𝐼 𝑥 superscript subscript 0 𝑓 𝑡 ℎ 𝑥 𝑡 𝑡 {\displaystyle{\displaystyle I(x)=\int_{0}^{\infty}f(t)h(xt)\mathrm{d}t.}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • f ⁢ ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}} : locally integrable function
  • I ⁢ ( x ) 𝐼 𝑥 {\displaystyle{\displaystyle I(x)}} : convolution integral
  • h ⁢ ( x ) ℎ 𝑥 {\displaystyle{\displaystyle h(x)}} : function
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This page was last edited on 28 January 2024, at 10:30.
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