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Formula:4373

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Digital Library of Mathematical Functions ID 10.47.E8

𝗂 n ( 2 ) ⁡ ( z ) = 1 2 ⁢ π / z ⁢ I - n - 1 2 ⁡ ( z ) spherical-Bessel-I-2 𝑛 𝑧 1 2 𝜋 𝑧 modified-Bessel-first-kind 𝑛 1 2 𝑧 {\displaystyle{\displaystyle{\mathsf{i}^{(2)}_{n}}\left(z\right)=\sqrt{\tfrac{% 1}{2}\pi/z}I_{-n-\frac{1}{2}}\left(z\right)}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • I ν ⁡ ( z ) modified-Bessel-first-kind 𝜈 𝑧 {\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}} : modified Bessel function of the first kind
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
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This page was last edited on 3 March 2024, at 02:00.
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