CALCULUS is able to find the series of the following types
of functions:
• f(x)=kx+b
• f(x)=kx
2
• f(x)=kSin(ax)
• f(x)=kCos(ax)
• f(x)=ke
ax
Fourier series, symbolic form
The expressions for aO, an and bn are found for given f(x).
The series itself must be set up by the user. The function f(x)
may be given as two expressions in two intervals:
:1, a<x<b
2, c < x < d
The functions are given as {f a b} where a and b are defining
the interval or bifurcated as {f 1 a b £2 c d}.
Rem. If the function is split in more than two
intervals, CALCULUS may be used on two
and two (or two plus one) intervals.
3
3
E^
6. Fourier series
76
5
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