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DLMF:4.22.E2

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Formula:1979
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MaRDI QIDQ1979

  • Label: DLMF:4.22.E2


Digital Library of Mathematical Functions ID 4.22.E2

cos ⁡ z = ∏ n = 1 ∞ ( 1 - 4 ⁢ z 2 ( 2 ⁢ n - 1 ) 2 ⁢ π 2 ) . 𝑧 superscript subscript product 𝑛 1 1 4 superscript 𝑧 2 superscript 2 𝑛 1 2 superscript 𝜋 2 {\displaystyle{\displaystyle\cos z=\prod_{n=1}^{\infty}\left(1-\frac{4z^{2}}{(% 2n-1)^{2}\pi^{2}}\right).}}


Constraint(s)

Symbols List

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