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Fourier Series - HP Mathematics II User Manual

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Fourier series
Under Fourier series in symbolic form one can find the Fou-
rier series of polynomials up to 2nd degree and a copule of
other possibilites. The numeric series for a given number of
terms may also be found. The input function may be bifurca-
ted with different expressions in two different intervals.
The Fourier series are generaly given as:
f(x) = aO + > an*Cos(2*Tr*x*n/T) + 2^ b
n
*Sin(2*Tr*x*n/T)
ri^l
n = l
T is the period and the coefficients are given:
T/2
aO= l/rjf(x)dx
-T/2
T/2
r
an= 2/TJf(x)*Cos(2*ir*x*n/r)dx
-T/2
T/2
bn=
2/T [f(x)*Sin(2*Tr*x*n/T)dx
-T/2
6. Fourier series
75

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