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Formula:4179

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Digital Library of Mathematical Functions ID 10.24.E5

𝒲 ⁡ { J ~ ν ⁡ ( x ) , Y ~ ν ⁡ ( x ) } = 2 / ( π ⁢ x ) . Wronskian Bessel-J-imaginary-order 𝜈 𝑥 Bessel-Y-Weber-imaginary-order 𝜈 𝑥 2 𝜋 𝑥 {\displaystyle{\displaystyle\mathscr{W}\left\{\widetilde{J}_{\nu}\left(x\right% ),\widetilde{Y}_{\nu}\left(x\right)\right\}=2/(\pi x).}}


Constraint(s)

Symbols List

  • J ~ ν ⁡ ( x ) Bessel-J-imaginary-order 𝜈 𝑥 {\displaystyle{\displaystyle\widetilde{J}_{\NVar{\nu}}\left(\NVar{x}\right)}} : Bessel function of imaginary order
  • Y ~ ν ⁡ ( x ) Bessel-Y-Weber-imaginary-order 𝜈 𝑥 {\displaystyle{\displaystyle\widetilde{Y}_{\NVar{\nu}}\left(\NVar{x}\right)}} : Bessel function of imaginary order
  • 𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}} : Wronskian
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : complex parameter
  •  Edit this on Wikidata

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