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Formula:588

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Digital Library of Mathematical Functions ID 1.16.E18

D m ⁢ f = f ( m ) + σ 0 ⁢ δ x 0 ( m - 1 ) + σ 1 ⁢ δ x 0 ( m - 2 ) + … + σ m - 1 ⁢ δ x 0 , superscript 𝐷 𝑚 𝑓 superscript 𝑓 𝑚 subscript 𝜎 0 Dirac-delta-distribution subscript 𝑥 0 𝑚 1 subscript 𝜎 1 Dirac-delta-distribution subscript 𝑥 0 𝑚 2 … subscript 𝜎 𝑚 1 Dirac-delta-distribution subscript 𝑥 0 {\displaystyle{\displaystyle D^{m}f=f^{(m)}+\sigma_{0}{\delta_{x_{0}}^{(m-1)}}% +\sigma_{1}{\delta_{x_{0}}^{(m-2)}}+\dots+\sigma_{m-1}\delta_{x_{0}},}}


Constraint(s)

m = 1 , 2 , … 𝑚 1 2 … {\displaystyle{\displaystyle m=1,2,\dots}}

Symbols List

  • δ x Dirac-delta-distribution 𝑥 {\displaystyle{\displaystyle\delta_{x}}} :
  • m 𝑚 {\displaystyle{\displaystyle m}} : nonnegative integer
  • D ⁢ f 𝐷 𝑓 {\displaystyle{\displaystyle Df}} :
  •  Edit this on Wikidata

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