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Formula:764

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Digital Library of Mathematical Functions ID 2.5.E18

h ⁢ ( t ) ∼ exp ⁡ ( i ⁢ κ ⁢ t p ) ⁢ ∑ s = 0 ∞ b s ⁢ t - β s , asymptotic-expansion ℎ 𝑡 𝑖 𝜅 superscript 𝑡 𝑝 superscript subscript 𝑠 0 subscript 𝑏 𝑠 superscript 𝑡 subscript 𝛽 𝑠 {\displaystyle{\displaystyle h(t)\sim\exp\left(i\kappa t^{p}\right)\sum_{s=0}^% {\infty}b_{s}t^{-\beta_{s}},}}


Constraint(s)

t → + ∞ → 𝑡 {\displaystyle{\displaystyle t\to+\infty}}

Symbols List

  • ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}} :
  • exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}} : exponential function
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • h ⁢ ( x ) ℎ 𝑥 {\displaystyle{\displaystyle h(x)}} : locally integrable function
  • κ 𝜅 {\displaystyle{\displaystyle\kappa}} : real
  • p 𝑝 {\displaystyle{\displaystyle p}} : positive
  • b 𝑏 {\displaystyle{\displaystyle b}} : right endpoint
  •  Edit this on Wikidata

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