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Formula:4483

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Digital Library of Mathematical Functions ID 10.60.E11

βˆ‘ n = 0 ∞ 𝗃 n 2 ⁑ ( z ) = Si ⁑ ( 2 ⁒ z ) 2 ⁒ z . superscript subscript 𝑛 0 spherical-Bessel-J 𝑛 2 𝑧 sine-integral 2 𝑧 2 𝑧 {\displaystyle{\displaystyle\sum_{n=0}^{\infty}{\mathsf{j}_{n}^{2}}\left(z% \right)=\frac{\mathrm{Si}\left(2z\right)}{2z}.}}


Constraint(s)

Symbols List

  • Si ⁑ ( z ) sine-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Si}\left(\NVar{z}\right)}} : sine integral
  • 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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