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Formula:4357

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Digital Library of Mathematical Functions ID 10.45.E4

𝒲 ⁡ { K ~ ν ⁡ ( x ) , I ~ ν ⁡ ( x ) } = 1 / x . Wronskian modified-Bessel-second-kind-imaginary-order 𝜈 𝑥 modified-Bessel-first-kind-imaginary-order 𝜈 𝑥 1 𝑥 {\displaystyle{\displaystyle\mathscr{W}\left\{\widetilde{K}_{\nu}\left(x\right% ),\widetilde{I}_{\nu}\left(x\right)\right\}=1/x.}}


Constraint(s)

Symbols List

  • 𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}} : Wronskian
  • I ~ ν ⁡ ( x ) modified-Bessel-first-kind-imaginary-order 𝜈 𝑥 {\displaystyle{\displaystyle\widetilde{I}_{\NVar{\nu}}\left(\NVar{x}\right)}} : modified Bessel function of the first kind of imaginary order
  • K ~ ν ⁡ ( x ) modified-Bessel-second-kind-imaginary-order 𝜈 𝑥 {\displaystyle{\displaystyle\widetilde{K}_{\NVar{\nu}}\left(\NVar{x}\right)}} : modified Bessel function fo the second kind of imaginary order
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : complex parameter
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:59.
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