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Formula:4033

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Digital Library of Mathematical Functions ID 10.21.E36

j ν , m ′ ∼ ν ⁢ ∑ k = 0 ∞ α k ′ ν 2 ⁢ k / 3 , asymptotic-expansion diffop zero-Bessel-J 𝜈 𝑚 1 𝜈 superscript subscript 𝑘 0 subscript superscript 𝛼 ′ 𝑘 superscript 𝜈 2 𝑘 3 {\displaystyle{\displaystyle j_{\nu,m}'\sim\nu\sum_{k=0}^{\infty}\frac{\alpha^% {\prime}_{k}}{\nu^{2k/3}},}}


Constraint(s)

Symbols List

  • ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}} :
  • j ν , m zero-Bessel-J 𝜈 𝑚 {\displaystyle{\displaystyle j_{\NVar{\nu},\NVar{m}}}} :
  • m 𝑚 {\displaystyle{\displaystyle m}} : integer
  • k 𝑘 {\displaystyle{\displaystyle k}} : nonnegative integer
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : complex parameter
  • α ′ superscript 𝛼 ′ {\displaystyle{\displaystyle\alpha^{\prime}}} : coefficients (locally)
  •  Edit this on Wikidata

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