HP 50g User Manual page 507

The fitting is somewhat acceptable for 0<t<2, although not as good as in the
previous example.
A general expression for c
The function FOURIER can provide a general expression for the coefficient c
the complex Fourier series expansion. For example, using the same function g(t)
as before, the general term c
font displays):
The general expression turns out to be, after simplifying the previous result,
We can simplify this expression even further by using Euler's formula for
complex numbers, namely, e
cos(2n ) = 1, and sin(2n ) = 0, for n integer.
Using the calculator you can simplify the expression in the equation writer
(‚O) by replacing e
simplification:
n
is given by (figures show normal font and small
n
( n 2 i )
c
n
2in
2in
= 1. The figure shows the expression after
2 in 2 2
e 2 i n
3 3 2 in
2 n e
= cos(2n ) + i sin(2n ) = 1 + i 0 = 1, since
2
3 n 2 i
of
n
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