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Elementary Functions > Exp[z] > Visualizations

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Fractional derivatives

Real part (left graphic) and imaginary part (right graphic) of the fractional derivatives of .

Real part of the fractional derivatives of over the .

Weierstrass-Riemann function

The everywhere continuous, but almost nowhere differentiable generalized Weierstrass-Riemann functions (red), (green), and (blue). Here .

Weyl sums

Weyl sums of the form for various .

Zeros of the continued fraction expansion

Real parts of the roots of the first terms of the denominators of the continued fraction expansion of in the . As increases from 0 to 60, the roots are colored from red to violet and cluster along the branch cuts.