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DLMF:10.52.E6

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MaRDI QIDQ4451

  • Label: DLMF:10.52.E6


Digital Library of Mathematical Functions ID 10.52.E6

๐—„ n โก ( z ) โˆผ 1 2 โข ฯ€ โข z - 1 โข e - z . asymptotically-equals spherical-Bessel-K ๐‘› ๐‘ง 1 2 ๐œ‹ superscript ๐‘ง 1 superscript ๐‘’ ๐‘ง {\displaystyle{\displaystyle\mathsf{k}_{n}\left(z\right)\sim\tfrac{1}{2}\pi z^% {-1}e^{-z}.}}


Constraint(s)

Symbols List

  • โˆผ asymptotically-equals {\displaystyle{\displaystyle\sim}} : asymptotic equality
  • ฯ€ {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • ๐—„ n โก ( z ) spherical-Bessel-K ๐‘› ๐‘ง {\displaystyle{\displaystyle\mathsf{k}_{\NVar{n}}\left(\NVar{z}\right)}} : modified spherical Bessel function
  • n ๐‘› {\displaystyle{\displaystyle n}} : integer
  • z ๐‘ง {\displaystyle{\displaystyle z}} : complex variable
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