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Formula:1985

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Digital Library of Mathematical Functions ID 4.22.E5

csc ⁡ z = 1 z + 2 ⁢ z ⁢ ∑ n = 1 ∞ ( - 1 ) n z 2 - n 2 ⁢ π 2 . 𝑧 1 𝑧 2 𝑧 superscript subscript 𝑛 1 superscript 1 𝑛 superscript 𝑧 2 superscript 𝑛 2 superscript 𝜋 2 {\displaystyle{\displaystyle\csc z=\frac{1}{z}+2z\sum_{n=1}^{\infty}\frac{(-1)% ^{n}}{z^{2}-n^{2}\pi^{2}}.}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • csc ⁡ z 𝑧 {\displaystyle{\displaystyle\csc\NVar{z}}} : cosecant function
  • 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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