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Formula:4486

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Digital Library of Mathematical Functions ID 10.60.E14

βˆ‘ n = 0 ∞ ( 2 ⁒ n + 1 ) ⁒ ( 𝗃 n β€² ⁑ ( z ) ) 2 = 1 3 . superscript subscript 𝑛 0 2 𝑛 1 superscript diffop spherical-Bessel-J 𝑛 1 𝑧 2 1 3 {\displaystyle{\displaystyle\sum_{n=0}^{\infty}(2n+1)(\mathsf{j}_{n}'\left(z% \right))^{2}=\tfrac{1}{3}.}}


Constraint(s)

Symbols List

  • 𝗃 n ⁑ ( z ) spherical-Bessel-J 𝑛 𝑧 {\displaystyle{\displaystyle\mathsf{j}_{\NVar{n}}\left(\NVar{z}\right)}} : spherical 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 28 January 2024, at 10:30.
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