A Pólya plot is a plot of the vector field of ![(R[f(z)],-I[f(z)])](/images/equations/PolyaPlot/Inline1.svg)
of a complex
function 
.
Several examples are shown above.
Pólya plots can be created in the Wolfram Language using the following code:
PolyaFieldPlot[f_, {x_, xmin_, xmax_}, {y_, ymin_, ymax_},
opts : OptionsPattern[]] :=
VectorPlot[Evaluate @ {Re[f], -Im[f]},
{x, xmin, xmax}, {y, ymin, ymax},
VectorScale -> {Automatic, Automatic, Log[#5 + 1]&},
opts
]
