HP 50g User Manual page 508

Graphing calculator
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The result is
Putting together the complex Fourier series
Having determined the general expression for c
complex Fourier series by using the summation function ( ) in the calculator as
follows:
First, define a function c(n) representing the general term c
Fourier series.
Next, define the finite complex Fourier series, F(X,k), where X is the
independent variable and k determines the number of terms to be used.
Ideally we would like to write this finite complex Fourier series as
However, because the function c(n) is not defined for n = 0, we will be
better advised to re-write the expression as
k
[
c
(
n
)
n
1
c
= (i n +2)/(n
n
k
F
(
X
,
k
)
n
F
2
i
n
exp(
T
2 2
).
, we can put together a finite
n
2
i
c
(
n
)
exp(
k
(
X
,
k
,
c
) 0
c
0
X
)
c
(
n
)
exp(
in the complex
n
n
X
)
T
2
i
n
T
X
)],
Page 16-31

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