# complex valued functions of a complex variable

m_flashman shared this question 5 years ago

It appears that GG can identify complex numbers and perform complex arithmetic and complex valued functions on complex numbers individually, but I haven't found a way to define a complex valued function of a complex variable.

For example how does one define a mobius function,f, of a complex variable z=x+iy when z_1 = 2+3i, z_2 = 1-2i, z_3 = 3-i, so that f(z) = (z_1 +z_2 *z)/(z_3+z) ?

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Hi, if you want an algebric write, try something like that :

https://ggbm.at/569679

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Using your algebra approach is useful but limited. What I would like is an easily defined complex valued complex variable function that I can use without running through many complicated procedures in the graphics or CAS mode.

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This is an example of what I am trying to achieve.

Visualizing a complex mobius function with a mapping diagram of C to C.

Having a single designation for the complex function would make some of this work far simpler.

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Hi, you can create personal tools but you can't have the same for different types : complex, list of complex, so i've made one of each (see base) and how to use for a list (just-enough). Cheers. Michel

https://ggbm.at/569693

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