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Formula:953

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Digital Library of Mathematical Functions ID 2.9.E9

w j ⁢ ( n ) ∼ ρ n ⁢ exp ⁡ ( ( - 1 ) j ⁢ κ ⁢ n ) ⁢ n α ⁢ ∑ s = 0 ∞ ( - 1 ) j ⁢ s ⁢ c s n s / 2 , asymptotic-expansion subscript 𝑤 𝑗 𝑛 superscript 𝜌 𝑛 superscript 1 𝑗 𝜅 𝑛 superscript 𝑛 𝛼 superscript subscript 𝑠 0 superscript 1 𝑗 𝑠 subscript 𝑐 𝑠 superscript 𝑛 𝑠 2 {\displaystyle{\displaystyle w_{j}(n)\sim\rho^{n}\exp\left((-1)^{j}\kappa\sqrt% {n}\right)n^{\alpha}\sum_{s=0}^{\infty}(-1)^{js}\frac{c_{s}}{n^{s/2}},}}


Constraint(s)

Symbols List

  • ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}} :
  • exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}} : exponential function
  • ρ 𝜌 {\displaystyle{\displaystyle\rho}} : roots
  • κ 𝜅 {\displaystyle{\displaystyle\kappa}} : κ
  • c 𝑐 {\displaystyle{\displaystyle c}} : constant
  • w j ⁢ ( n ) subscript 𝑤 𝑗 𝑛 {\displaystyle{\displaystyle w_{j}(n)}} : solutions
  •  Edit this on Wikidata

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