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DLMF:10.39.E2

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MaRDI QIDQ4267

  • Label: DLMF:10.39.E2


Digital Library of Mathematical Functions ID 10.39.E2

K 1 2 ⁡ ( z ) = K - 1 2 ⁡ ( z ) = ( π 2 ⁢ z ) 1 2 ⁢ e - z . modified-Bessel-second-kind 1 2 𝑧 modified-Bessel-second-kind 1 2 𝑧 superscript 𝜋 2 𝑧 1 2 superscript 𝑒 𝑧 {\displaystyle{\displaystyle K_{\frac{1}{2}}\left(z\right)=K_{-\frac{1}{2}}% \left(z\right)=\left(\frac{\pi}{2z}\right)^{\frac{1}{2}}e^{-z}.}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • K ν ⁡ ( z ) modified-Bessel-second-kind 𝜈 𝑧 {\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}} : modified Bessel function of the second kind
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
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