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Formula:4003

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Digital Library of Mathematical Functions ID 10.21.E22

ρ ν ⁢ ( t ) ∼ ν ⁢ ∑ k = 0 ∞ α k ν 2 ⁢ k / 3 , asymptotic-expansion subscript 𝜌 𝜈 𝑡 𝜈 superscript subscript 𝑘 0 subscript 𝛼 𝑘 superscript 𝜈 2 𝑘 3 {\displaystyle{\displaystyle\rho_{\nu}(t)\sim\nu\sum_{k=0}^{\infty}\frac{% \alpha_{k}}{\nu^{2k/3}},}}


Constraint(s)

Symbols List

  • ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}} :
  • k 𝑘 {\displaystyle{\displaystyle k}} : nonnegative integer
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : complex parameter
  • ρ ν ⁢ ( t ) subscript 𝜌 𝜈 𝑡 {\displaystyle{\displaystyle\rho_{\nu}(t)}} : zero of cylinder function
  • α 𝛼 {\displaystyle{\displaystyle\alpha}} : coefficients (locally)
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:57.
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