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Formula:4374

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Digital Library of Mathematical Functions ID 10.47.E9

𝗄 n ⁑ ( z ) = 1 2 ⁒ Ο€ / z ⁒ K n + 1 2 ⁑ ( z ) = 1 2 ⁒ Ο€ / z ⁒ K - n - 1 2 ⁑ ( z ) . spherical-Bessel-K 𝑛 𝑧 1 2 πœ‹ 𝑧 modified-Bessel-second-kind 𝑛 1 2 𝑧 1 2 πœ‹ 𝑧 modified-Bessel-second-kind 𝑛 1 2 𝑧 {\displaystyle{\displaystyle\mathsf{k}_{n}\left(z\right)=\sqrt{\tfrac{1}{2}\pi% /z}K_{n+\frac{1}{2}}\left(z\right)=\sqrt{\tfrac{1}{2}\pi/z}K_{-n-\frac{1}{2}}% \left(z\right).}}


Constraint(s)

Symbols List

  • Ο€ {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • K Ξ½ ⁑ ( z ) modified-Bessel-second-kind 𝜈 𝑧 {\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}} : modified Bessel function of the second kind
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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