Formula:1491

Digital Library of Mathematical Functions ID 3.11.E10

${\displaystyle{\displaystyle c_{n}=\frac{2}{\pi}\int_{0}^{\pi}f(\cos\theta)\cos\left(n\theta\right)\mathrm{d}\theta,}}$

Constraint(s)

${\displaystyle{\displaystyle n=0,1,2,\dots}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\cos\NVar{z}}}$: cosine function
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
 

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