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Formula:224

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Digital Library of Mathematical Functions ID 1.8.E1

f ⁢ ( x ) = 1 2 ⁢ a 0 + ∑ n = 1 ∞ ( a n ⁢ cos ⁡ ( n ⁢ x ) + b n ⁢ sin ⁡ ( n ⁢ x ) ) , 𝑓 𝑥 1 2 subscript 𝑎 0 subscript superscript 𝑛 1 subscript 𝑎 𝑛 𝑛 𝑥 subscript 𝑏 𝑛 𝑛 𝑥 {\displaystyle{\displaystyle f(x)=\tfrac{1}{2}a_{0}+\sum^{\infty}_{n=1}(a_{n}% \cos\left(nx\right)+b_{n}\sin\left(nx\right)),}}


Constraint(s)

Symbols List

  • cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}} : cosine function
  • sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}} : sine function
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
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This page was last edited on 28 January 2024, at 10:30.
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