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Formula:813

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Digital Library of Mathematical Functions ID 2.6.E18

c s = ( - 1 ) s ( s - 1 ) ! ⁢ ℳ ⁡ f ⁡ ( s ) , subscript 𝑐 𝑠 superscript 1 𝑠 𝑠 1 Mellin-transform 𝑓 𝑠 {\displaystyle{\displaystyle c_{s}=\frac{(-1)^{s}}{(s-1)!}\mathscr{M}\mskip-3.% 0mu f\mskip 3.0mu \left(s\right),}}


Constraint(s)

Symbols List

  • ℳ ⁡ ( f ) ⁡ ( s ) Mellin-transform 𝑓 𝑠 {\displaystyle{\displaystyle\mathscr{M}\left(\NVar{f}\right)\left(\NVar{s}% \right)}} : Mellin transform
  • ! {\displaystyle{\displaystyle!}} :
  • c ≠ 0 𝑐 0 {\displaystyle{\displaystyle c\neq 0}} : real
  • f ⁢ ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}} : locally integrable function
  •  Edit this on Wikidata

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