Math 365: Domain Coloring 07

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


b) f(z) = 1/(1-z) and its partial sums s_j(z) = 1 + ... + z^(j-1) for j = 1,2,3,4,5,10,20; then f(z) again


















c) f(z) = Log(1+z)



d) f(z) = Arctan z and its partial sums s_j(z) = z + ... + c_n z^j for j = 1,3,5,7,9,21; then f(z) again