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Formula:10152

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Digital Library of Mathematical Functions ID 32.11.E25

w ⁢ ( x ) - 1 ∼ - λ ⁢ Γ ⁡ ( ν + 1 2 ) ⁢ 2 - 2 ⁢ ν ⁢ x - ν - ( 1 / 2 ) ⁢ e - 2 ⁢ x , asymptotically-equals 𝑤 𝑥 1 𝜆 Euler-Gamma 𝜈 1 2 superscript 2 2 𝜈 superscript 𝑥 𝜈 1 2 superscript 𝑒 2 𝑥 {\displaystyle{\displaystyle w(x)-1\sim-\lambda\Gamma\left(\nu+\tfrac{1}{2}% \right)2^{-2\nu}x^{-\nu-(1/2)}e^{-2x},}}


Constraint(s)

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

Symbols List

  • Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}} : gamma function
  • ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}} : asymptotic equality
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • x 𝑥 {\displaystyle{\displaystyle x}} : real
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : parameter
  •  Edit this on Wikidata

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