WOLFRAM|DEMONSTRATIONS PROJECT

The Generalized Weierstrass-Riemann Functions

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number of terms
10
number of points
1000
a
2
join points
The generalized Weierstrass–Riemann functions are continuous everywhere but are differentiable almost nowhere. They are defined by
R
a
(x)=
∞
∑
k=1
exp(i
α
k
x)
-a
k
.This Demonstration plots these functions in the complex plane for values of
x
between 0 and
2π
.