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Formula:9907

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Digital Library of Mathematical Functions ID 32.3.E3

u ∼ k ⁒ U ⁑ ( - Ξ½ - 1 2 , x ) , asymptotically-equals 𝑒 π‘˜ parabolic-U 𝜈 1 2 π‘₯ {\displaystyle{\displaystyle u\sim kU\left(-\nu-\tfrac{1}{2},x\right),}}


Constraint(s)

x β†’ + ∞ β†’ π‘₯ {\displaystyle{\displaystyle x\to+\infty}}

Symbols List

  • ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}} : asymptotic equality
  • U ⁑ ( a , z ) parabolic-U π‘Ž 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}} :
  • x π‘₯ {\displaystyle{\displaystyle x}} : real
  • k π‘˜ {\displaystyle{\displaystyle k}} : real
  • Ξ½ 𝜈 {\displaystyle{\displaystyle\nu}} : parameter
  • u k ⁒ ( x ; Ξ½ ) subscript 𝑒 π‘˜ π‘₯ 𝜈 {\displaystyle{\displaystyle u_{k}(x;\nu)}} : solution
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This page was last edited on 28 January 2024, at 10:02.
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