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Formula:4782

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Digital Library of Mathematical Functions ID 11.11.E19

𝐄 ν ⁡ ( ν ) ∼ 2 1 / 3 3 7 / 6 ⁢ Γ ⁡ ( 2 3 ) ⁢ ν 1 / 3 , asymptotically-equals Weber-E 𝜈 𝜈 superscript 2 1 3 superscript 3 7 6 Euler-Gamma 2 3 superscript 𝜈 1 3 {\displaystyle{\displaystyle\mathbf{E}_{\nu}\left(\nu\right)\sim\frac{2^{1/3}}% {3^{7/6}\Gamma\left(\tfrac{2}{3}\right)\nu^{1/3}},}}


Constraint(s)

ν → + ∞ → 𝜈 {\displaystyle{\displaystyle\nu\to+\infty}}

Symbols List

  • Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}} : gamma function
  • 𝐄 ν ⁡ ( z ) Weber-E 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{E}_{\NVar{\nu}}\left(\NVar{z}\right)}} : Weber function
  • ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}} : asymptotic equality
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : real or complex order
  •  Edit this on Wikidata

Resources that cite this formula

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This page was last edited on 3 March 2024, at 02:06.
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