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Formula:494

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Digital Library of Mathematical Functions ID 1.14.E33

lim t → ± ∞ ⁡ ℳ ⁡ f ⁡ ( σ + i ⁢ t ) = 0 . subscript → 𝑡 plus-or-minus Mellin-transform 𝑓 𝜎 𝑖 𝑡 0 {\displaystyle{\displaystyle\lim_{t\to\pm\infty}\mathscr{M}\mskip-3.0mu f% \mskip 3.0mu \left(\sigma+it\right)=0.}}


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
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • σ ∈ ( a , b ) 𝜎 𝑎 𝑏 {\displaystyle{\displaystyle\sigma\in(a,b)}} : parameter
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This page was last edited on 3 March 2024, at 01:30.
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