Math 365: Domain Coloring 02

a) The standard color map (p(z) = z)


b) The polynomial p(z) = z^4 -4z^3+6z^2 -4z+5


c) The rational function f(z) = (z+12)^2(z-(15+8i))(z-(15-8i))/(z-5)^4


d) The function f(z) = sin(z)


e) The function f(z) = exp(z)