DLMF:

4 Elementary Functions Trigonometric Functions 4.15 Graphics 4.15 Graphics 4.16 Elementary Properties

Figure 4.15.11 (See in context.)

Figure 4.15.11: $\mathop{\mathrm{arctan}\/}\nolimits\!\left(x+iy\right)$ (principal value). There are branch cuts along the imaginary axis from $-i\infty$ to

and

to $i\infty$ .

Annotations:

Symbols:: $\mathop{\mathrm{arctan}\/}\nolimits z$ : arctangent function, : real variable and : real variable
Permalink:: http://dlmf.nist.gov/4.15.F11.mag
Encodings:: Magnified png, VRML, X3D, pdf

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