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Formula:2980

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Digital Library of Mathematical Functions ID 6.10.E5

Cin ⁑ ( z ) = βˆ‘ n = 1 ∞ a n ⁒ ( 𝗃 n ⁑ ( 1 2 ⁒ z ) ) 2 , cosine-integral-Cin 𝑧 superscript subscript 𝑛 1 subscript π‘Ž 𝑛 superscript spherical-Bessel-J 𝑛 1 2 𝑧 2 {\displaystyle{\displaystyle\mathrm{Cin}\left(z\right)=\sum_{n=1}^{\infty}a_{n% }\left(\mathsf{j}_{n}\left(\tfrac{1}{2}z\right)\right)^{2},}}


Constraint(s)

Symbols List

  • Cin ⁑ ( z ) cosine-integral-Cin 𝑧 {\displaystyle{\displaystyle\mathrm{Cin}\left(\NVar{z}\right)}} : cosine 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
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • a n subscript π‘Ž 𝑛 {\displaystyle{\displaystyle a_{n}}} : coefficients (locally)
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This page was last edited on 28 January 2024, at 10:30.
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