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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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