create a 2-D complex plot
complexplot(expr, t=a..b, xv, yv, options)
complexplot(f, a..b, xv, yv, options)
complexplot(L, xv, yv, options)
algebraic; expression in parameter t defining a curve
name; curve parameter
procedure; procedure in one variable defining a curve
realcons; endpoints of parameter range
list; complex numbers specified as points
(optional) range or name=range; view of horizontal axis
(optional) range or name=range; view of vertical axis
(optional) sequence of equations; plot options
The complexplot command creates a 2-D plot displaying complex values, with the x-direction representing the real part and the y-direction representing the imaginary part. The complex function may be given as an algebraic expression or a procedure. Alternatively, a list of points may be provided. For 3-D complex plots, see plots[complexplot3d].
The first calling sequence, complexplot(expr, t=a..b), plots the complex expression expr which is a function of a single real parameter t over the parameter range a..b.
The second calling sequence, complexplot(f, a..b), plots the complex function represented by f, a procedure taking a single real parameter and returning a complex value, over the parameter range a..b. For more information about plotting procedures using operator notation, see plot/function.
The third calling sequence, complexplot(L), plots a list of complex values as points. The points are connected unless the style=point option is given.
For all three calling sequences, additional arguments having the form u=v..w or v..w may be provided, where u is a name and v and w are real constants. If one such argument is provided, it defines the view of the x-axis. If two are provided, they define the views of the x-axis and y-axis. The name u is used as the axis label if given.
Remaining arguments are interpreted as options as described in the plot/options help page.
Plot an expression over a parameter range.
Plot a procedure over a parameter range, with a restricted view.
Plot a list of points and display using an x-axis view of 0..10.
ptlist ≔ 1+2⁢I,3+4⁢I,5−I,7−8⁢I
The command to create the plot from the Plotting Guide is
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