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Formula:833

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Digital Library of Mathematical Functions ID 2.6.E37

F βˆ— G = D n + m ⁒ ( f βˆ— g ) . βˆ— 𝐹 𝐺 superscript 𝐷 𝑛 π‘š βˆ— 𝑓 𝑔 {\displaystyle{\displaystyle F\ast G=D^{n+m}(f\ast g).}}


Constraint(s)

Symbols List

  • g ⁒ ( t ) 𝑔 𝑑 {\displaystyle{\displaystyle g(t)}} : locally integrable function
  • βˆ— βˆ— {\displaystyle{\displaystyle\ast}} : convolution (locally)
  • D 𝐷 {\displaystyle{\displaystyle D}} :
  • f ⁒ ( t ) 𝑓 𝑑 {\displaystyle{\displaystyle f(t)}} : locally integrable function
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • F 𝐹 {\displaystyle{\displaystyle F}} : derivative
  • G 𝐺 {\displaystyle{\displaystyle G}} : derivative
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:02.
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