Zeros, Poles, and Essential Singularities
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Let be a complex-valued function. Assign a color to each point
of the complex plane as a function of
, namely the RGB color with four arguments
,
,
, and
(red, green, blue, and opacity, all depending on
). If
(with
chosen by its slider), use black. Otherwise: if
,
; if
,
; if
,
.
Contributed by: Izidor Hafner (February 2016)
Open content licensed under CC BY-NC-SA
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Reference
[1] A. Sveshnikov and A. Tikhonov, The Theory of Functions of a Complex Variable (G. Yankovsky, trans.), Moscow: Mir Publishers, 1971.
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