Applied Mathematics/Fourier Sine Series
<
Applied Mathematics
Fourier sine series
The series below is called
Fourier sine series
.
f
(
x
)
=
∑
n
=
1
∞
b
n
sin
n
π
x
L
{\displaystyle f(x)=\sum _{n=1}^{\infty }b_{n}\sin {\frac {n\pi x}{L}}}
where
b
n
=
2
L
∫
0
L
f
(
x
)
sin
n
π
x
L
d
x
{\displaystyle b_{n}={\frac {2}{L}}\int _{0}^{L}f(x)\sin {\frac {n\pi x}{L}}dx}
