HP 50g HP 50g_user's manual_English_HDPSG49AEM8.pdf - Page 150

Reference, The Fourier series with three elements will be written

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Thus, c0 = 1/3, c1 = (π⋅i+2)/π2, c2 = (π⋅i+1)/(2π2). The Fourier series with three elements will be written as g(t) ≈ Re[(1/3) + (π⋅i+2)/π2⋅exp(i⋅π⋅t)+ (π⋅i+1)/(2π2)⋅exp(2⋅i⋅π⋅t)]. Reference For additional definitions, applications, and exercises on solving differential equations, using Laplace transform, and Fourier series and transforms, as well as numerical and graphical methods, see Chapter 16 in the calculator's user's guide. Page 14-7

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Page 14-7
Thus,
c
0
= 1/3, c
1
= (
π⋅
i+2)/
π
2
, c
2
= (
π⋅
i+1)/(2
π
2
).
The Fourier series with three elements will be written as
g(t)
≈
Re[(1/3) + (
π⋅
i+2)/
π
2
⋅
exp(i
⋅π⋅
t)+ (
π⋅
i+1)/(2
π
2
)
⋅
exp(2
⋅
i
⋅π⋅
t)].
Reference
For additional definitions, applications, and exercises on solving
differential equations, using Laplace transform, and Fourier series and
transforms, as well as numerical and graphical methods, see Chapter 16
in the calculator’s user’s guide.