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Formula:3910

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Digital Library of Mathematical Functions ID 10.18.E19

N ν 2 ⁡ ( x ) ∼ 2 π ⁢ x ⁢ ( 1 - 1 2 ⁢ μ - 3 ( 2 ⁢ x ) 2 - 1 2 ⋅ 4 ⁢ ( μ - 1 ) ⁢ ( μ - 45 ) ( 2 ⁢ x ) 4 - ⋯ ) , asymptotic-expansion modulus-Bessel-N 𝜈 2 𝑥 2 𝜋 𝑥 1 1 2 𝜇 3 superscript 2 𝑥 2 1 ⋅ 2 4 𝜇 1 𝜇 45 superscript 2 𝑥 4 ⋯ {\displaystyle{\displaystyle{N_{\nu}^{2}}\left(x\right)\sim\frac{2}{\pi x}% \left(1-\frac{1}{2}\frac{\mu-3}{(2x)^{2}}-\frac{1}{2\cdot 4}\frac{(\mu-1)(\mu-% 45)}{(2x)^{4}}-\cdots\right),}}


Constraint(s)

Symbols List

  • ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}} :
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • N ν ⁡ ( x ) modulus-Bessel-N 𝜈 𝑥 {\displaystyle{\displaystyle N_{\NVar{\nu}}\left(\NVar{x}\right)}} : modulus of derivatives of Bessel functions
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : complex parameter
  •  Edit this on Wikidata

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