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2.7.E29

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Formula:893
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MaRDI QIDQ893

  • Label: 2.7.E29


Digital Library of Mathematical Functions ID 2.7.E29

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


Constraint(s)

x → a 1 + → 𝑥 limit-from subscript 𝑎 1 {\displaystyle{\displaystyle x\to a_{1}+}}

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
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