The method of visualization of a complex function illustrated in this other post is very popular in mathematics community. It implements one of the methods presented by Elias Wegert in his excellent book, https://link.springer.com/book/10.1007/978-3-0348-0180-5.
In this book it is proved that HSV colors can encode all properties of a complex function, zeros and poles positions, analysing the plot patterns, according to the so called argument principle from Complex Function Theory.
Also, Elias Wegert publishes each year a calendar, Complex Beauties, associating to each month a topic related to a celebrated complex function. Hence to see different methods of visulizing complex functions, you can browse the collection of calendars https://tu-freiberg.de/en/fakult1/ana/institute/institute-of-applied-analysis/organisation/complex-beauties.
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