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Elementary Functions > ArcTan[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 .

Zeros of the continued fraction expansion

Imaginary parts of the roots of the first terms 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.