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Formula:838

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Digital Library of Mathematical Functions ID 2.6.E42

f = ∑ s = 0 n - 1 a s ⁢ t - s - 1 - ∑ s = 1 n d s ⁢ δ ( s - 1 ) + f n . 𝑓 superscript subscript 𝑠 0 𝑛 1 subscript 𝑎 𝑠 superscript 𝑡 𝑠 1 superscript subscript 𝑠 1 𝑛 subscript 𝑑 𝑠 Dirac-delta 𝑠 1 subscript 𝑓 𝑛 {\displaystyle{\displaystyle f=\sum_{s=0}^{n-1}a_{s}t^{-s-1}-\sum_{s=1}^{n}d_{% s}{\delta^{(s-1)}}+f_{n}.}}


Constraint(s)

Symbols List

  • δ ⁡ ( x - a ) Dirac-delta 𝑥 𝑎 {\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}} :
  • d s subscript 𝑑 𝑠 {\displaystyle{\displaystyle d_{s}}} : coefficients
  • f ⁢ ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}} : locally integrable function
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • a n subscript 𝑎 𝑛 {\displaystyle{\displaystyle a_{n}}} : coefficients
  • f n , n ⁢ ( t ) subscript 𝑓 𝑛 𝑛 𝑡 {\displaystyle{\displaystyle f_{n,n}(t)}} : n th repeated integral
  •  Edit this on Wikidata

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