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 , .
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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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