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Formula:892

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Digital Library of Mathematical Functions ID 2.7.E28

w 3 ⁢ ( x ) ∼ f - 1 / 4 ⁢ ( x ) ⁢ exp ⁡ ( ∫ f 1 / 2 ⁢ ( x ) ⁢ d x ) , asymptotically-equals subscript 𝑤 3 𝑥 superscript 𝑓 1 4 𝑥 superscript 𝑓 1 2 𝑥 𝑥 {\displaystyle{\displaystyle w_{3}(x)\sim f^{-1/4}(x)\exp\left(\int f^{1/2}(x)% \mathrm{d}x\right),}}


Constraint(s)

x → a 2 - → 𝑥 limit-from subscript 𝑎 2 {\displaystyle{\displaystyle x\to a_{2}-}}

Symbols List

  • ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}} : asymptotic equality
  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}} : exponential function
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • ( a 1 , a 2 ) subscript 𝑎 1 subscript 𝑎 2 {\displaystyle{\displaystyle(a_{1},a_{2})}} : interval
  • w j ⁢ ( z ) subscript 𝑤 𝑗 𝑧 {\displaystyle{\displaystyle w_{j}(z)}} : solutions
  •  Edit this on Wikidata

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