2006-07-31 07:13:04 · 3 answers · asked by sandhu 2 in Science & Mathematics ➔ Mathematics
If f(x)=sum c_n exp(inx)
with the sum going from -infty to infty, then
c_n=(1/2pi) int_0^2pi f(x) exp(-inx) dx.
This is useful for a 2pi periodic function and makes sense as long as the function is integrable.
This is the complex version of Fourier series. The real version does sums of sin(nx) and cos(nx) with similar inner product formulas for the coefficients.
2006-07-31 07:49:14 · answer #1 · answered by mathematician 7 · 1⤊ 0⤋
There are 2 different forms that are common: complex and trigonometric. I prefer the complex representation but the trigonometric form does have some advantages.
You are better off to search for the Fourier series online.
2006-07-31 07:22:14 · answer #2 · answered by DoctaB01 2 · 0⤊ 0⤋
F(x) = a0/2 + a1 cos x + b1 sin x + a2 cos 2x + b2 sin 2x + ...
+ an cos nx + bn sin nx + ...
2006-07-31 07:34:51 · answer #3 · answered by Anonymous · 0⤊ 0⤋