HP 48gII User Manual page 510

•
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
F ( X
However, because the function c(n) is not defined for n = 0, we will be
better advised to re-write the expression as
k 2
[ c ( n ) exp(
n= 1
Or, in the calculator entry line as:
DEFINE('F(X,k,c0) = c0+Σ(n=1,k,c(n)*EXP(2*i*π*n*X/T)+
where T is the period, T = 2. The following screen shots show the definition of
function F and the storing of T = 2:
k 2
, k ) c ( n ) exp(
n − = k
( , , ) 0 = 0
F X k c c
i π n
X ) c ( n )
T
c(-n)*EXP(-(2*i*π*n*X/T))'),
in the complex
n
i π n
X )
T
+
2 i π n
exp( X )],
T
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